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Finding the Fourth Proportional to 2,456.87, 3,665.45 and 2,210.22

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Solution

The fourth proportional to 2,456.87, 3,665.45 and 2,210.22 is: 3,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.87 : 3,665.45 = 2,210.22 : x
  2. Step 2: Convert to fraction form
    2,456.87/3,665.45 = 2,210.22/x
  3. Step 3: Cross multiply
    2,456.87x = 3,665.45 × 2,210.22
  4. Step 4: Simplify right side
    2,456.87x = 8,101,456.42
  5. Step 5: Solve for x
    x = 8,101,456.42/2,456.87
  6. Step 6: Final answer
    x = 3,297.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.