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Finding the Fourth Proportional to 2,357.57, 3,532.25 and 1,431.17

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Solution

The fourth proportional to 2,357.57, 3,532.25 and 1,431.17 is: 2,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.57 : 3,532.25 = 1,431.17 : x
  2. Step 2: Convert to fraction form
    2,357.57/3,532.25 = 1,431.17/x
  3. Step 3: Cross multiply
    2,357.57x = 3,532.25 × 1,431.17
  4. Step 4: Simplify right side
    2,357.57x = 5,055,250.23
  5. Step 5: Solve for x
    x = 5,055,250.23/2,357.57
  6. Step 6: Final answer
    x = 2,144.26

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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.