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Finding the Fourth Proportional to 1,842.94, 2,765.63 and 869.12

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Solution

The fourth proportional to 1,842.94, 2,765.63 and 869.12 is: 1,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.94 : 2,765.63 = 869.12 : x
  2. Step 2: Convert to fraction form
    1,842.94/2,765.63 = 869.12/x
  3. Step 3: Cross multiply
    1,842.94x = 2,765.63 × 869.12
  4. Step 4: Simplify right side
    1,842.94x = 2,403,652.69
  5. Step 5: Solve for x
    x = 2,403,652.69/1,842.94
  6. Step 6: Final answer
    x = 1,304.25

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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.