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Finding the Fourth Proportional to 2,802.59, 3,865.05 and 2,332.05

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Solution

The fourth proportional to 2,802.59, 3,865.05 and 2,332.05 is: 3,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.59 : 3,865.05 = 2,332.05 : x
  2. Step 2: Convert to fraction form
    2,802.59/3,865.05 = 2,332.05/x
  3. Step 3: Cross multiply
    2,802.59x = 3,865.05 × 2,332.05
  4. Step 4: Simplify right side
    2,802.59x = 9,013,489.85
  5. Step 5: Solve for x
    x = 9,013,489.85/2,802.59
  6. Step 6: Final answer
    x = 3,216.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.