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Finding the Fourth Proportional to 1,741.53, 2,612.25 and 425.28

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Solution

The fourth proportional to 1,741.53, 2,612.25 and 425.28 is: 637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.53 : 2,612.25 = 425.28 : x
  2. Step 2: Convert to fraction form
    1,741.53/2,612.25 = 425.28/x
  3. Step 3: Cross multiply
    1,741.53x = 2,612.25 × 425.28
  4. Step 4: Simplify right side
    1,741.53x = 1,110,937.68
  5. Step 5: Solve for x
    x = 1,110,937.68/1,741.53
  6. Step 6: Final answer
    x = 637.91

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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.