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Finding the Fourth Proportional to 2,998.71, 4,498.03 and 1,354.11

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Solution

The fourth proportional to 2,998.71, 4,498.03 and 1,354.11 is: 2,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.71 : 4,498.03 = 1,354.11 : x
  2. Step 2: Convert to fraction form
    2,998.71/4,498.03 = 1,354.11/x
  3. Step 3: Cross multiply
    2,998.71x = 4,498.03 × 1,354.11
  4. Step 4: Simplify right side
    2,998.71x = 6,090,824.88
  5. Step 5: Solve for x
    x = 6,090,824.88/2,998.71
  6. Step 6: Final answer
    x = 2,031.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.