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Finding the Fourth Proportional to 2,381.92, 3,574.14 and 1,600

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Solution

The fourth proportional to 2,381.92, 3,574.14 and 1,600 is: 2,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.92 : 3,574.14 = 1,600 : x
  2. Step 2: Convert to fraction form
    2,381.92/3,574.14 = 1,600/x
  3. Step 3: Cross multiply
    2,381.92x = 3,574.14 × 1,600
  4. Step 4: Simplify right side
    2,381.92x = 5,718,624
  5. Step 5: Solve for x
    x = 5,718,624/2,381.92
  6. Step 6: Final answer
    x = 2,400.85

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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.