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Finding the Fourth Proportional to 2,218.69, 3,061.98 and 1,224.16

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Solution

The fourth proportional to 2,218.69, 3,061.98 and 1,224.16 is: 1,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.69 : 3,061.98 = 1,224.16 : x
  2. Step 2: Convert to fraction form
    2,218.69/3,061.98 = 1,224.16/x
  3. Step 3: Cross multiply
    2,218.69x = 3,061.98 × 1,224.16
  4. Step 4: Simplify right side
    2,218.69x = 3,748,359.56
  5. Step 5: Solve for x
    x = 3,748,359.56/2,218.69
  6. Step 6: Final answer
    x = 1,689.45

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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.