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Finding the Fourth Proportional to 2,907.96, 4,013.08 and 1,581.76

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Solution

The fourth proportional to 2,907.96, 4,013.08 and 1,581.76 is: 2,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.96 : 4,013.08 = 1,581.76 : x
  2. Step 2: Convert to fraction form
    2,907.96/4,013.08 = 1,581.76/x
  3. Step 3: Cross multiply
    2,907.96x = 4,013.08 × 1,581.76
  4. Step 4: Simplify right side
    2,907.96x = 6,347,729.42
  5. Step 5: Solve for x
    x = 6,347,729.42/2,907.96
  6. Step 6: Final answer
    x = 2,182.88

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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.