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Finding the Fourth Proportional to 2,037.98, 3,056.56 and 577.15

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Solution

The fourth proportional to 2,037.98, 3,056.56 and 577.15 is: 865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.98 : 3,056.56 = 577.15 : x
  2. Step 2: Convert to fraction form
    2,037.98/3,056.56 = 577.15/x
  3. Step 3: Cross multiply
    2,037.98x = 3,056.56 × 577.15
  4. Step 4: Simplify right side
    2,037.98x = 1,764,084.52
  5. Step 5: Solve for x
    x = 1,764,084.52/2,037.98
  6. Step 6: Final answer
    x = 865.60

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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.