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Finding the Fourth Proportional to 2,218.71, 3,061.74 and 1,224

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Solution

The fourth proportional to 2,218.71, 3,061.74 and 1,224 is: 1,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.71 : 3,061.74 = 1,224 : x
  2. Step 2: Convert to fraction form
    2,218.71/3,061.74 = 1,224/x
  3. Step 3: Cross multiply
    2,218.71x = 3,061.74 × 1,224
  4. Step 4: Simplify right side
    2,218.71x = 3,747,569.76
  5. Step 5: Solve for x
    x = 3,747,569.76/2,218.71
  6. Step 6: Final answer
    x = 1,689.08

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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.