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Finding the Fourth Proportional to 1,541.60, 2,308.12 and 1,078.32

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Solution

The fourth proportional to 1,541.60, 2,308.12 and 1,078.32 is: 1,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.60 : 2,308.12 = 1,078.32 : x
  2. Step 2: Convert to fraction form
    1,541.60/2,308.12 = 1,078.32/x
  3. Step 3: Cross multiply
    1,541.60x = 2,308.12 × 1,078.32
  4. Step 4: Simplify right side
    1,541.60x = 2,488,891.96
  5. Step 5: Solve for x
    x = 2,488,891.96/1,541.60
  6. Step 6: Final answer
    x = 1,614.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.