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Finding the Fourth Proportional to 2,899.12, 4,000.78 and 1,572.82

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Solution

The fourth proportional to 2,899.12, 4,000.78 and 1,572.82 is: 2,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.12 : 4,000.78 = 1,572.82 : x
  2. Step 2: Convert to fraction form
    2,899.12/4,000.78 = 1,572.82/x
  3. Step 3: Cross multiply
    2,899.12x = 4,000.78 × 1,572.82
  4. Step 4: Simplify right side
    2,899.12x = 6,292,506.80
  5. Step 5: Solve for x
    x = 6,292,506.80/2,899.12
  6. Step 6: Final answer
    x = 2,170.49

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