Home / 2,002.85-3,000.29-1,567.97

Finding the Fourth Proportional to 2,002.85, 3,000.29 and 1,567.97

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Solution

The fourth proportional to 2,002.85, 3,000.29 and 1,567.97 is: 2,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.85 : 3,000.29 = 1,567.97 : x
  2. Step 2: Convert to fraction form
    2,002.85/3,000.29 = 1,567.97/x
  3. Step 3: Cross multiply
    2,002.85x = 3,000.29 × 1,567.97
  4. Step 4: Simplify right side
    2,002.85x = 4,704,364.71
  5. Step 5: Solve for x
    x = 4,704,364.71/2,002.85
  6. Step 6: Final answer
    x = 2,348.84

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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.