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Finding the Fourth Proportional to 2,424.89, 3,346.49 and 1,363

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Solution

The fourth proportional to 2,424.89, 3,346.49 and 1,363 is: 1,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.89 : 3,346.49 = 1,363 : x
  2. Step 2: Convert to fraction form
    2,424.89/3,346.49 = 1,363/x
  3. Step 3: Cross multiply
    2,424.89x = 3,346.49 × 1,363
  4. Step 4: Simplify right side
    2,424.89x = 4,561,265.87
  5. Step 5: Solve for x
    x = 4,561,265.87/2,424.89
  6. Step 6: Final answer
    x = 1,881.02

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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.