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Finding the Fourth Proportional to 1,579.92, 2,354.08 and 1,407.48

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Solution

The fourth proportional to 1,579.92, 2,354.08 and 1,407.48 is: 2,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.92 : 2,354.08 = 1,407.48 : x
  2. Step 2: Convert to fraction form
    1,579.92/2,354.08 = 1,407.48/x
  3. Step 3: Cross multiply
    1,579.92x = 2,354.08 × 1,407.48
  4. Step 4: Simplify right side
    1,579.92x = 3,313,320.52
  5. Step 5: Solve for x
    x = 3,313,320.52/1,579.92
  6. Step 6: Final answer
    x = 2,097.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.