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Finding the Fourth Proportional to 2,378.11, 3,567.69 and 712.17

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Solution

The fourth proportional to 2,378.11, 3,567.69 and 712.17 is: 1,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.11 : 3,567.69 = 712.17 : x
  2. Step 2: Convert to fraction form
    2,378.11/3,567.69 = 712.17/x
  3. Step 3: Cross multiply
    2,378.11x = 3,567.69 × 712.17
  4. Step 4: Simplify right side
    2,378.11x = 2,540,792.66
  5. Step 5: Solve for x
    x = 2,540,792.66/2,378.11
  6. Step 6: Final answer
    x = 1,068.41

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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.