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Finding the Fourth Proportional to 2,218.32, 3,061.08 and 1,287

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Solution

The fourth proportional to 2,218.32, 3,061.08 and 1,287 is: 1,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.32 : 3,061.08 = 1,287 : x
  2. Step 2: Convert to fraction form
    2,218.32/3,061.08 = 1,287/x
  3. Step 3: Cross multiply
    2,218.32x = 3,061.08 × 1,287
  4. Step 4: Simplify right side
    2,218.32x = 3,939,609.96
  5. Step 5: Solve for x
    x = 3,939,609.96/2,218.32
  6. Step 6: Final answer
    x = 1,775.94

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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.