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Finding the Fourth Proportional to 1,337.64, 2,006.40 and 1,104.36

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Solution

The fourth proportional to 1,337.64, 2,006.40 and 1,104.36 is: 1,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.64 : 2,006.40 = 1,104.36 : x
  2. Step 2: Convert to fraction form
    1,337.64/2,006.40 = 1,104.36/x
  3. Step 3: Cross multiply
    1,337.64x = 2,006.40 × 1,104.36
  4. Step 4: Simplify right side
    1,337.64x = 2,215,787.90
  5. Step 5: Solve for x
    x = 2,215,787.90/1,337.64
  6. Step 6: Final answer
    x = 1,656.49

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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.