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Finding the Fourth Proportional to 2,381.24, 3,572.02 and 737.57

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Solution

The fourth proportional to 2,381.24, 3,572.02 and 737.57 is: 1,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.24 : 3,572.02 = 737.57 : x
  2. Step 2: Convert to fraction form
    2,381.24/3,572.02 = 737.57/x
  3. Step 3: Cross multiply
    2,381.24x = 3,572.02 × 737.57
  4. Step 4: Simplify right side
    2,381.24x = 2,634,614.79
  5. Step 5: Solve for x
    x = 2,634,614.79/2,381.24
  6. Step 6: Final answer
    x = 1,106.40

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1.5x scale

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.