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Finding the Fourth Proportional to 3,024.73, 4,537.07 and 944.76

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Solution

The fourth proportional to 3,024.73, 4,537.07 and 944.76 is: 1,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.73 : 4,537.07 = 944.76 : x
  2. Step 2: Convert to fraction form
    3,024.73/4,537.07 = 944.76/x
  3. Step 3: Cross multiply
    3,024.73x = 4,537.07 × 944.76
  4. Step 4: Simplify right side
    3,024.73x = 4,286,422.46
  5. Step 5: Solve for x
    x = 4,286,422.46/3,024.73
  6. Step 6: Final answer
    x = 1,417.12

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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.