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Finding the Fourth Proportional to 1,795.39, 2,691.45 and 869.64

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Solution

The fourth proportional to 1,795.39, 2,691.45 and 869.64 is: 1,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.39 : 2,691.45 = 869.64 : x
  2. Step 2: Convert to fraction form
    1,795.39/2,691.45 = 869.64/x
  3. Step 3: Cross multiply
    1,795.39x = 2,691.45 × 869.64
  4. Step 4: Simplify right side
    1,795.39x = 2,340,584.93
  5. Step 5: Solve for x
    x = 2,340,584.93/1,795.39
  6. Step 6: Final answer
    x = 1,303.66

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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.