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Finding the Fourth Proportional to 2,691.60, 4,030.92 and 1,823.28

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Solution

The fourth proportional to 2,691.60, 4,030.92 and 1,823.28 is: 2,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.60 : 4,030.92 = 1,823.28 : x
  2. Step 2: Convert to fraction form
    2,691.60/4,030.92 = 1,823.28/x
  3. Step 3: Cross multiply
    2,691.60x = 4,030.92 × 1,823.28
  4. Step 4: Simplify right side
    2,691.60x = 7,349,495.82
  5. Step 5: Solve for x
    x = 7,349,495.82/2,691.60
  6. Step 6: Final answer
    x = 2,730.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.