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Finding the Fourth Proportional to 2,309.61, 3,465.78 and 849.79

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Solution

The fourth proportional to 2,309.61, 3,465.78 and 849.79 is: 1,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.61 : 3,465.78 = 849.79 : x
  2. Step 2: Convert to fraction form
    2,309.61/3,465.78 = 849.79/x
  3. Step 3: Cross multiply
    2,309.61x = 3,465.78 × 849.79
  4. Step 4: Simplify right side
    2,309.61x = 2,945,167.86
  5. Step 5: Solve for x
    x = 2,945,167.86/2,309.61
  6. Step 6: Final answer
    x = 1,275.18

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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.