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Finding the Fourth Proportional to 2,407.46, 3,606.54 and 1,480.28

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Solution

The fourth proportional to 2,407.46, 3,606.54 and 1,480.28 is: 2,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.46 : 3,606.54 = 1,480.28 : x
  2. Step 2: Convert to fraction form
    2,407.46/3,606.54 = 1,480.28/x
  3. Step 3: Cross multiply
    2,407.46x = 3,606.54 × 1,480.28
  4. Step 4: Simplify right side
    2,407.46x = 5,338,689.03
  5. Step 5: Solve for x
    x = 5,338,689.03/2,407.46
  6. Step 6: Final answer
    x = 2,217.56

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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.