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Finding the Fourth Proportional to 1,536.08, 2,119.43 and 872.87

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Solution

The fourth proportional to 1,536.08, 2,119.43 and 872.87 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.08 : 2,119.43 = 872.87 : x
  2. Step 2: Convert to fraction form
    1,536.08/2,119.43 = 872.87/x
  3. Step 3: Cross multiply
    1,536.08x = 2,119.43 × 872.87
  4. Step 4: Simplify right side
    1,536.08x = 1,849,978.45
  5. Step 5: Solve for x
    x = 1,849,978.45/1,536.08
  6. Step 6: Final answer
    x = 1,204.35

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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.