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Finding the Fourth Proportional to 2,210, 3,049.94 and 1,462.66

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Solution

The fourth proportional to 2,210, 3,049.94 and 1,462.66 is: 2,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210 : 3,049.94 = 1,462.66 : x
  2. Step 2: Convert to fraction form
    2,210/3,049.94 = 1,462.66/x
  3. Step 3: Cross multiply
    2,210x = 3,049.94 × 1,462.66
  4. Step 4: Simplify right side
    2,210x = 4,461,025.24
  5. Step 5: Solve for x
    x = 4,461,025.24/2,210
  6. Step 6: Final answer
    x = 2,018.56

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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.