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Finding the Fourth Proportional to 1,401.56, 2,100.42 and 534.68

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Solution

The fourth proportional to 1,401.56, 2,100.42 and 534.68 is: 801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.56 : 2,100.42 = 534.68 : x
  2. Step 2: Convert to fraction form
    1,401.56/2,100.42 = 534.68/x
  3. Step 3: Cross multiply
    1,401.56x = 2,100.42 × 534.68
  4. Step 4: Simplify right side
    1,401.56x = 1,123,052.57
  5. Step 5: Solve for x
    x = 1,123,052.57/1,401.56
  6. Step 6: Final answer
    x = 801.29

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