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Finding the Fourth Proportional to 2,225.34, 3,069.99 and 1,280.92

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Solution

The fourth proportional to 2,225.34, 3,069.99 and 1,280.92 is: 1,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.34 : 3,069.99 = 1,280.92 : x
  2. Step 2: Convert to fraction form
    2,225.34/3,069.99 = 1,280.92/x
  3. Step 3: Cross multiply
    2,225.34x = 3,069.99 × 1,280.92
  4. Step 4: Simplify right side
    2,225.34x = 3,932,411.59
  5. Step 5: Solve for x
    x = 3,932,411.59/2,225.34
  6. Step 6: Final answer
    x = 1,767.11

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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.