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Finding the Fourth Proportional to 2,605.52, 3,908.28 and 1,948.07

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Solution

The fourth proportional to 2,605.52, 3,908.28 and 1,948.07 is: 2,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.52 : 3,908.28 = 1,948.07 : x
  2. Step 2: Convert to fraction form
    2,605.52/3,908.28 = 1,948.07/x
  3. Step 3: Cross multiply
    2,605.52x = 3,908.28 × 1,948.07
  4. Step 4: Simplify right side
    2,605.52x = 7,613,620.10
  5. Step 5: Solve for x
    x = 7,613,620.10/2,605.52
  6. Step 6: Final answer
    x = 2,922.11

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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.