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Finding the Fourth Proportional to 2,428.57, 3,644.07 and 1,129.87

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Solution

The fourth proportional to 2,428.57, 3,644.07 and 1,129.87 is: 1,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.57 : 3,644.07 = 1,129.87 : x
  2. Step 2: Convert to fraction form
    2,428.57/3,644.07 = 1,129.87/x
  3. Step 3: Cross multiply
    2,428.57x = 3,644.07 × 1,129.87
  4. Step 4: Simplify right side
    2,428.57x = 4,117,325.37
  5. Step 5: Solve for x
    x = 4,117,325.37/2,428.57
  6. Step 6: Final answer
    x = 1,695.37

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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.