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Finding the Fourth Proportional to 2,264.58, 3,397.68 and 1,640.46

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Solution

The fourth proportional to 2,264.58, 3,397.68 and 1,640.46 is: 2,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.58 : 3,397.68 = 1,640.46 : x
  2. Step 2: Convert to fraction form
    2,264.58/3,397.68 = 1,640.46/x
  3. Step 3: Cross multiply
    2,264.58x = 3,397.68 × 1,640.46
  4. Step 4: Simplify right side
    2,264.58x = 5,573,758.13
  5. Step 5: Solve for x
    x = 5,573,758.13/2,264.58
  6. Step 6: Final answer
    x = 2,461.28

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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.