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Finding the Fourth Proportional to 2,309.04, 3,465.36 and 849.60

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Solution

The fourth proportional to 2,309.04, 3,465.36 and 849.60 is: 1,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.04 : 3,465.36 = 849.60 : x
  2. Step 2: Convert to fraction form
    2,309.04/3,465.36 = 849.60/x
  3. Step 3: Cross multiply
    2,309.04x = 3,465.36 × 849.60
  4. Step 4: Simplify right side
    2,309.04x = 2,944,169.86
  5. Step 5: Solve for x
    x = 2,944,169.86/2,309.04
  6. Step 6: Final answer
    x = 1,275.06

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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.