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Finding the Fourth Proportional to 2,264.80, 3,396.78 and 1,032.24

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Solution

The fourth proportional to 2,264.80, 3,396.78 and 1,032.24 is: 1,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.80 : 3,396.78 = 1,032.24 : x
  2. Step 2: Convert to fraction form
    2,264.80/3,396.78 = 1,032.24/x
  3. Step 3: Cross multiply
    2,264.80x = 3,396.78 × 1,032.24
  4. Step 4: Simplify right side
    2,264.80x = 3,506,292.19
  5. Step 5: Solve for x
    x = 3,506,292.19/2,264.80
  6. Step 6: Final answer
    x = 1,548.17

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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.