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Finding the Fourth Proportional to 1,402.81, 2,104.62 and 581.13

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Solution

The fourth proportional to 1,402.81, 2,104.62 and 581.13 is: 871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.81 : 2,104.62 = 581.13 : x
  2. Step 2: Convert to fraction form
    1,402.81/2,104.62 = 581.13/x
  3. Step 3: Cross multiply
    1,402.81x = 2,104.62 × 581.13
  4. Step 4: Simplify right side
    1,402.81x = 1,223,057.82
  5. Step 5: Solve for x
    x = 1,223,057.82/1,402.81
  6. Step 6: Final answer
    x = 871.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.