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Finding the Fourth Proportional to 1,602.24, 2,403.84 and 737.04

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Solution

The fourth proportional to 1,602.24, 2,403.84 and 737.04 is: 1,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.24 : 2,403.84 = 737.04 : x
  2. Step 2: Convert to fraction form
    1,602.24/2,403.84 = 737.04/x
  3. Step 3: Cross multiply
    1,602.24x = 2,403.84 × 737.04
  4. Step 4: Simplify right side
    1,602.24x = 1,771,726.23
  5. Step 5: Solve for x
    x = 1,771,726.23/1,602.24
  6. Step 6: Final answer
    x = 1,105.78

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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.