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Finding the Fourth Proportional to 2,264.53, 3,124.22 and 1,320.17

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Solution

The fourth proportional to 2,264.53, 3,124.22 and 1,320.17 is: 1,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.53 : 3,124.22 = 1,320.17 : x
  2. Step 2: Convert to fraction form
    2,264.53/3,124.22 = 1,320.17/x
  3. Step 3: Cross multiply
    2,264.53x = 3,124.22 × 1,320.17
  4. Step 4: Simplify right side
    2,264.53x = 4,124,513.08
  5. Step 5: Solve for x
    x = 4,124,513.08/2,264.53
  6. Step 6: Final answer
    x = 1,821.35

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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.