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Finding the Fourth Proportional to 1,845.18, 2,766.10 and 921.02

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Solution

The fourth proportional to 1,845.18, 2,766.10 and 921.02 is: 1,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.18 : 2,766.10 = 921.02 : x
  2. Step 2: Convert to fraction form
    1,845.18/2,766.10 = 921.02/x
  3. Step 3: Cross multiply
    1,845.18x = 2,766.10 × 921.02
  4. Step 4: Simplify right side
    1,845.18x = 2,547,633.42
  5. Step 5: Solve for x
    x = 2,547,633.42/1,845.18
  6. Step 6: Final answer
    x = 1,380.70

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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.