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Finding the Fourth Proportional to 1,612.86, 2,224.68 and 1,280.76

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Solution

The fourth proportional to 1,612.86, 2,224.68 and 1,280.76 is: 1,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.86 : 2,224.68 = 1,280.76 : x
  2. Step 2: Convert to fraction form
    1,612.86/2,224.68 = 1,280.76/x
  3. Step 3: Cross multiply
    1,612.86x = 2,224.68 × 1,280.76
  4. Step 4: Simplify right side
    1,612.86x = 2,849,281.16
  5. Step 5: Solve for x
    x = 2,849,281.16/1,612.86
  6. Step 6: Final answer
    x = 1,766.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.