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Finding the Fourth Proportional to 2,381.45, 3,572.05 and 737.86

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Solution

The fourth proportional to 2,381.45, 3,572.05 and 737.86 is: 1,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.45 : 3,572.05 = 737.86 : x
  2. Step 2: Convert to fraction form
    2,381.45/3,572.05 = 737.86/x
  3. Step 3: Cross multiply
    2,381.45x = 3,572.05 × 737.86
  4. Step 4: Simplify right side
    2,381.45x = 2,635,670.12
  5. Step 5: Solve for x
    x = 2,635,670.12/2,381.45
  6. Step 6: Final answer
    x = 1,106.75

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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.