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Finding the Fourth Proportional to 1,480.92, 2,038.02 and 1,148.04

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Solution

The fourth proportional to 1,480.92, 2,038.02 and 1,148.04 is: 1,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.92 : 2,038.02 = 1,148.04 : x
  2. Step 2: Convert to fraction form
    1,480.92/2,038.02 = 1,148.04/x
  3. Step 3: Cross multiply
    1,480.92x = 2,038.02 × 1,148.04
  4. Step 4: Simplify right side
    1,480.92x = 2,339,728.48
  5. Step 5: Solve for x
    x = 2,339,728.48/1,480.92
  6. Step 6: Final answer
    x = 1,579.92

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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.