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Finding the Fourth Proportional to 2,900.12, 4,002.18 and 1,573.82

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Solution

The fourth proportional to 2,900.12, 4,002.18 and 1,573.82 is: 2,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.12 : 4,002.18 = 1,573.82 : x
  2. Step 2: Convert to fraction form
    2,900.12/4,002.18 = 1,573.82/x
  3. Step 3: Cross multiply
    2,900.12x = 4,002.18 × 1,573.82
  4. Step 4: Simplify right side
    2,900.12x = 6,298,723.04
  5. Step 5: Solve for x
    x = 6,298,723.04/2,900.12
  6. Step 6: Final answer
    x = 2,171.88

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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.