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Finding the Fourth Proportional to 2,165.48, 3,246.17 and 1,972.88

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Solution

The fourth proportional to 2,165.48, 3,246.17 and 1,972.88 is: 2,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.48 : 3,246.17 = 1,972.88 : x
  2. Step 2: Convert to fraction form
    2,165.48/3,246.17 = 1,972.88/x
  3. Step 3: Cross multiply
    2,165.48x = 3,246.17 × 1,972.88
  4. Step 4: Simplify right side
    2,165.48x = 6,404,277.77
  5. Step 5: Solve for x
    x = 6,404,277.77/2,165.48
  6. Step 6: Final answer
    x = 2,957.45

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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.