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Finding the Fourth Proportional to 2,618.96, 3,932.76 and 2,368.40

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Solution

The fourth proportional to 2,618.96, 3,932.76 and 2,368.40 is: 3,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.96 : 3,932.76 = 2,368.40 : x
  2. Step 2: Convert to fraction form
    2,618.96/3,932.76 = 2,368.40/x
  3. Step 3: Cross multiply
    2,618.96x = 3,932.76 × 2,368.40
  4. Step 4: Simplify right side
    2,618.96x = 9,314,348.78
  5. Step 5: Solve for x
    x = 9,314,348.78/2,618.96
  6. Step 6: Final answer
    x = 3,556.51

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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.