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Finding the Fourth Proportional to 2,730.10, 3,763.72 and 2,308.76

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Solution

The fourth proportional to 2,730.10, 3,763.72 and 2,308.76 is: 3,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.10 : 3,763.72 = 2,308.76 : x
  2. Step 2: Convert to fraction form
    2,730.10/3,763.72 = 2,308.76/x
  3. Step 3: Cross multiply
    2,730.10x = 3,763.72 × 2,308.76
  4. Step 4: Simplify right side
    2,730.10x = 8,689,501.60
  5. Step 5: Solve for x
    x = 8,689,501.60/2,730.10
  6. Step 6: Final answer
    x = 3,182.85

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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.