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Finding the Fourth Proportional to 1,854.34, 2,781.06 and 866.53

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Solution

The fourth proportional to 1,854.34, 2,781.06 and 866.53 is: 1,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.34 : 2,781.06 = 866.53 : x
  2. Step 2: Convert to fraction form
    1,854.34/2,781.06 = 866.53/x
  3. Step 3: Cross multiply
    1,854.34x = 2,781.06 × 866.53
  4. Step 4: Simplify right side
    1,854.34x = 2,409,871.92
  5. Step 5: Solve for x
    x = 2,409,871.92/1,854.34
  6. Step 6: Final answer
    x = 1,299.58

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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.