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Finding the Fourth Proportional to 2,024.62, 3,037.23 and 637.81

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Solution

The fourth proportional to 2,024.62, 3,037.23 and 637.81 is: 956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.62 : 3,037.23 = 637.81 : x
  2. Step 2: Convert to fraction form
    2,024.62/3,037.23 = 637.81/x
  3. Step 3: Cross multiply
    2,024.62x = 3,037.23 × 637.81
  4. Step 4: Simplify right side
    2,024.62x = 1,937,157.29
  5. Step 5: Solve for x
    x = 1,937,157.29/2,024.62
  6. Step 6: Final answer
    x = 956.80

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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.