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Finding the Fourth Proportional to 2,792.19, 3,854.76 and 1,909.29

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Solution

The fourth proportional to 2,792.19, 3,854.76 and 1,909.29 is: 2,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.19 : 3,854.76 = 1,909.29 : x
  2. Step 2: Convert to fraction form
    2,792.19/3,854.76 = 1,909.29/x
  3. Step 3: Cross multiply
    2,792.19x = 3,854.76 × 1,909.29
  4. Step 4: Simplify right side
    2,792.19x = 7,359,854.72
  5. Step 5: Solve for x
    x = 7,359,854.72/2,792.19
  6. Step 6: Final answer
    x = 2,635.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.