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Finding the Fourth Proportional to 1,881.91, 2,821.97 and 565.15

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Solution

The fourth proportional to 1,881.91, 2,821.97 and 565.15 is: 847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.91 : 2,821.97 = 565.15 : x
  2. Step 2: Convert to fraction form
    1,881.91/2,821.97 = 565.15/x
  3. Step 3: Cross multiply
    1,881.91x = 2,821.97 × 565.15
  4. Step 4: Simplify right side
    1,881.91x = 1,594,830.70
  5. Step 5: Solve for x
    x = 1,594,830.70/1,881.91
  6. Step 6: Final answer
    x = 847.45

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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.