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Finding the Fourth Proportional to 2,899, 4,000.63 and 1,572.71

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Solution

The fourth proportional to 2,899, 4,000.63 and 1,572.71 is: 2,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899 : 4,000.63 = 1,572.71 : x
  2. Step 2: Convert to fraction form
    2,899/4,000.63 = 1,572.71/x
  3. Step 3: Cross multiply
    2,899x = 4,000.63 × 1,572.71
  4. Step 4: Simplify right side
    2,899x = 6,291,830.81
  5. Step 5: Solve for x
    x = 6,291,830.81/2,899
  6. Step 6: Final answer
    x = 2,170.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.