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Finding the Fourth Proportional to 1,881.98, 2,823.43 and 565.87

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Solution

The fourth proportional to 1,881.98, 2,823.43 and 565.87 is: 848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.98 : 2,823.43 = 565.87 : x
  2. Step 2: Convert to fraction form
    1,881.98/2,823.43 = 565.87/x
  3. Step 3: Cross multiply
    1,881.98x = 2,823.43 × 565.87
  4. Step 4: Simplify right side
    1,881.98x = 1,597,685.86
  5. Step 5: Solve for x
    x = 1,597,685.86/1,881.98
  6. Step 6: Final answer
    x = 848.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.