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Finding the Fourth Proportional to 3,024.74, 4,538.03 and 944.66

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Solution

The fourth proportional to 3,024.74, 4,538.03 and 944.66 is: 1,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.74 : 4,538.03 = 944.66 : x
  2. Step 2: Convert to fraction form
    3,024.74/4,538.03 = 944.66/x
  3. Step 3: Cross multiply
    3,024.74x = 4,538.03 × 944.66
  4. Step 4: Simplify right side
    3,024.74x = 4,286,902.04
  5. Step 5: Solve for x
    x = 4,286,902.04/3,024.74
  6. Step 6: Final answer
    x = 1,417.28

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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.