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Finding the Fourth Proportional to 3,024.36, 4,537.17 and 944.28

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Solution

The fourth proportional to 3,024.36, 4,537.17 and 944.28 is: 1,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.36 : 4,537.17 = 944.28 : x
  2. Step 2: Convert to fraction form
    3,024.36/4,537.17 = 944.28/x
  3. Step 3: Cross multiply
    3,024.36x = 4,537.17 × 944.28
  4. Step 4: Simplify right side
    3,024.36x = 4,284,358.89
  5. Step 5: Solve for x
    x = 4,284,358.89/3,024.36
  6. Step 6: Final answer
    x = 1,416.62

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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.