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Finding the Fourth Proportional to 2,407.80, 3,298.62 and 2,317.85

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Solution

The fourth proportional to 2,407.80, 3,298.62 and 2,317.85 is: 3,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.80 : 3,298.62 = 2,317.85 : x
  2. Step 2: Convert to fraction form
    2,407.80/3,298.62 = 2,317.85/x
  3. Step 3: Cross multiply
    2,407.80x = 3,298.62 × 2,317.85
  4. Step 4: Simplify right side
    2,407.80x = 7,645,689.87
  5. Step 5: Solve for x
    x = 7,645,689.87/2,407.80
  6. Step 6: Final answer
    x = 3,175.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.