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Finding the Fourth Proportional to 2,666.68, 4,000.35 and 1,432.39

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Solution

The fourth proportional to 2,666.68, 4,000.35 and 1,432.39 is: 2,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.68 : 4,000.35 = 1,432.39 : x
  2. Step 2: Convert to fraction form
    2,666.68/4,000.35 = 1,432.39/x
  3. Step 3: Cross multiply
    2,666.68x = 4,000.35 × 1,432.39
  4. Step 4: Simplify right side
    2,666.68x = 5,730,061.34
  5. Step 5: Solve for x
    x = 5,730,061.34/2,666.68
  6. Step 6: Final answer
    x = 2,148.76

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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.