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Finding the Fourth Proportional to 1,881.71, 2,822.96 and 565.41

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Solution

The fourth proportional to 1,881.71, 2,822.96 and 565.41 is: 848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.71 : 2,822.96 = 565.41 : x
  2. Step 2: Convert to fraction form
    1,881.71/2,822.96 = 565.41/x
  3. Step 3: Cross multiply
    1,881.71x = 2,822.96 × 565.41
  4. Step 4: Simplify right side
    1,881.71x = 1,596,121.69
  5. Step 5: Solve for x
    x = 1,596,121.69/1,881.71
  6. Step 6: Final answer
    x = 848.23

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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.