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Finding the Fourth Proportional to 1,901.71, 2,854.08 and 861.79

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Solution

The fourth proportional to 1,901.71, 2,854.08 and 861.79 is: 1,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.71 : 2,854.08 = 861.79 : x
  2. Step 2: Convert to fraction form
    1,901.71/2,854.08 = 861.79/x
  3. Step 3: Cross multiply
    1,901.71x = 2,854.08 × 861.79
  4. Step 4: Simplify right side
    1,901.71x = 2,459,617.60
  5. Step 5: Solve for x
    x = 2,459,617.60/1,901.71
  6. Step 6: Final answer
    x = 1,293.37

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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.