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Finding the Fourth Proportional to 1,741.57, 2,404.49 and 1,152.90

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Solution

The fourth proportional to 1,741.57, 2,404.49 and 1,152.90 is: 1,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.57 : 2,404.49 = 1,152.90 : x
  2. Step 2: Convert to fraction form
    1,741.57/2,404.49 = 1,152.90/x
  3. Step 3: Cross multiply
    1,741.57x = 2,404.49 × 1,152.90
  4. Step 4: Simplify right side
    1,741.57x = 2,772,136.52
  5. Step 5: Solve for x
    x = 2,772,136.52/1,741.57
  6. Step 6: Final answer
    x = 1,591.75

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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.