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Finding the Fourth Proportional to 2,264.57, 3,125.09 and 1,320.92

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Solution

The fourth proportional to 2,264.57, 3,125.09 and 1,320.92 is: 1,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.57 : 3,125.09 = 1,320.92 : x
  2. Step 2: Convert to fraction form
    2,264.57/3,125.09 = 1,320.92/x
  3. Step 3: Cross multiply
    2,264.57x = 3,125.09 × 1,320.92
  4. Step 4: Simplify right side
    2,264.57x = 4,127,981.56
  5. Step 5: Solve for x
    x = 4,127,981.56/2,264.57
  6. Step 6: Final answer
    x = 1,822.86

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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.