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Finding the Fourth Proportional to 1,920.08, 2,877.42 and 1,097.12

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Solution

The fourth proportional to 1,920.08, 2,877.42 and 1,097.12 is: 1,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.08 : 2,877.42 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    1,920.08/2,877.42 = 1,097.12/x
  3. Step 3: Cross multiply
    1,920.08x = 2,877.42 × 1,097.12
  4. Step 4: Simplify right side
    1,920.08x = 3,156,875.03
  5. Step 5: Solve for x
    x = 3,156,875.03/1,920.08
  6. Step 6: Final answer
    x = 1,644.14

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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.