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Finding the Fourth Proportional to 1,881.77, 2,596.77 and 1,042.51

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Solution

The fourth proportional to 1,881.77, 2,596.77 and 1,042.51 is: 1,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.77 : 2,596.77 = 1,042.51 : x
  2. Step 2: Convert to fraction form
    1,881.77/2,596.77 = 1,042.51/x
  3. Step 3: Cross multiply
    1,881.77x = 2,596.77 × 1,042.51
  4. Step 4: Simplify right side
    1,881.77x = 2,707,152.20
  5. Step 5: Solve for x
    x = 2,707,152.20/1,881.77
  6. Step 6: Final answer
    x = 1,438.62

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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.