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Finding the Fourth Proportional to 2,792.85, 3,854.62 and 2,088.22

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Solution

The fourth proportional to 2,792.85, 3,854.62 and 2,088.22 is: 2,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.85 : 3,854.62 = 2,088.22 : x
  2. Step 2: Convert to fraction form
    2,792.85/3,854.62 = 2,088.22/x
  3. Step 3: Cross multiply
    2,792.85x = 3,854.62 × 2,088.22
  4. Step 4: Simplify right side
    2,792.85x = 8,049,294.58
  5. Step 5: Solve for x
    x = 8,049,294.58/2,792.85
  6. Step 6: Final answer
    x = 2,882.11

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1.5x scale

Why These Related Problems?

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