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Finding the Fourth Proportional to 2,910.92, 4,004.82 and 2,407.88

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Solution

The fourth proportional to 2,910.92, 4,004.82 and 2,407.88 is: 3,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.92 : 4,004.82 = 2,407.88 : x
  2. Step 2: Convert to fraction form
    2,910.92/4,004.82 = 2,407.88/x
  3. Step 3: Cross multiply
    2,910.92x = 4,004.82 × 2,407.88
  4. Step 4: Simplify right side
    2,910.92x = 9,643,125.98
  5. Step 5: Solve for x
    x = 9,643,125.98/2,910.92
  6. Step 6: Final answer
    x = 3,312.74

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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.