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Finding the Fourth Proportional to 2,645.55, 3,967.25 and 913.95

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Solution

The fourth proportional to 2,645.55, 3,967.25 and 913.95 is: 1,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.55 : 3,967.25 = 913.95 : x
  2. Step 2: Convert to fraction form
    2,645.55/3,967.25 = 913.95/x
  3. Step 3: Cross multiply
    2,645.55x = 3,967.25 × 913.95
  4. Step 4: Simplify right side
    2,645.55x = 3,625,863.57
  5. Step 5: Solve for x
    x = 3,625,863.57/2,645.55
  6. Step 6: Final answer
    x = 1,370.55

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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.