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Finding the Fourth Proportional to 1,793.60, 2,688.48 and 1,280.32

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Solution

The fourth proportional to 1,793.60, 2,688.48 and 1,280.32 is: 1,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.60 : 2,688.48 = 1,280.32 : x
  2. Step 2: Convert to fraction form
    1,793.60/2,688.48 = 1,280.32/x
  3. Step 3: Cross multiply
    1,793.60x = 2,688.48 × 1,280.32
  4. Step 4: Simplify right side
    1,793.60x = 3,442,114.71
  5. Step 5: Solve for x
    x = 3,442,114.71/1,793.60
  6. Step 6: Final answer
    x = 1,919.11

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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.