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Finding the Fourth Proportional to 2,024.75, 3,037.13 and 656.75

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Solution

The fourth proportional to 2,024.75, 3,037.13 and 656.75 is: 985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.75 : 3,037.13 = 656.75 : x
  2. Step 2: Convert to fraction form
    2,024.75/3,037.13 = 656.75/x
  3. Step 3: Cross multiply
    2,024.75x = 3,037.13 × 656.75
  4. Step 4: Simplify right side
    2,024.75x = 1,994,635.13
  5. Step 5: Solve for x
    x = 1,994,635.13/2,024.75
  6. Step 6: Final answer
    x = 985.13

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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.