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Finding the Fourth Proportional to 1,374.19, 2,061.59 and 757.58

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Solution

The fourth proportional to 1,374.19, 2,061.59 and 757.58 is: 1,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.19 : 2,061.59 = 757.58 : x
  2. Step 2: Convert to fraction form
    1,374.19/2,061.59 = 757.58/x
  3. Step 3: Cross multiply
    1,374.19x = 2,061.59 × 757.58
  4. Step 4: Simplify right side
    1,374.19x = 1,561,819.35
  5. Step 5: Solve for x
    x = 1,561,819.35/1,374.19
  6. Step 6: Final answer
    x = 1,136.54

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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.