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Finding the Fourth Proportional to 1,494.90, 2,061.09 and 962.87

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Solution

The fourth proportional to 1,494.90, 2,061.09 and 962.87 is: 1,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.90 : 2,061.09 = 962.87 : x
  2. Step 2: Convert to fraction form
    1,494.90/2,061.09 = 962.87/x
  3. Step 3: Cross multiply
    1,494.90x = 2,061.09 × 962.87
  4. Step 4: Simplify right side
    1,494.90x = 1,984,551.42
  5. Step 5: Solve for x
    x = 1,984,551.42/1,494.90
  6. Step 6: Final answer
    x = 1,327.55

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