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Finding the Fourth Proportional to 2,057,981.90, 2,839,978.19 and 1,140,192.63

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Solution

The fourth proportional to 2,057,981.90, 2,839,978.19 and 1,140,192.63 is: 1,573,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,981.90 : 2,839,978.19 = 1,140,192.63 : x
  2. Step 2: Convert to fraction form
    2,057,981.90/2,839,978.19 = 1,140,192.63/x
  3. Step 3: Cross multiply
    2,057,981.90x = 2,839,978.19 × 1,140,192.63
  4. Step 4: Simplify right side
    2,057,981.90x = 3,238,122,201,598.74
  5. Step 5: Solve for x
    x = 3,238,122,201,598.74/2,057,981.90
  6. Step 6: Final answer
    x = 1,573,445.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.