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Finding the Fourth Proportional to 1,903.87, 2,854.45 and 732.88

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Solution

The fourth proportional to 1,903.87, 2,854.45 and 732.88 is: 1,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.87 : 2,854.45 = 732.88 : x
  2. Step 2: Convert to fraction form
    1,903.87/2,854.45 = 732.88/x
  3. Step 3: Cross multiply
    1,903.87x = 2,854.45 × 732.88
  4. Step 4: Simplify right side
    1,903.87x = 2,091,969.32
  5. Step 5: Solve for x
    x = 2,091,969.32/1,903.87
  6. Step 6: Final answer
    x = 1,098.80

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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.