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Finding the Fourth Proportional to 2,037.59, 3,057.88 and 928.26

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Solution

The fourth proportional to 2,037.59, 3,057.88 and 928.26 is: 1,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.59 : 3,057.88 = 928.26 : x
  2. Step 2: Convert to fraction form
    2,037.59/3,057.88 = 928.26/x
  3. Step 3: Cross multiply
    2,037.59x = 3,057.88 × 928.26
  4. Step 4: Simplify right side
    2,037.59x = 2,838,517.61
  5. Step 5: Solve for x
    x = 2,838,517.61/2,037.59
  6. Step 6: Final answer
    x = 1,393.07

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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.