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Finding the Fourth Proportional to 2,998.05, 4,498.16 and 1,353.35

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Solution

The fourth proportional to 2,998.05, 4,498.16 and 1,353.35 is: 2,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.05 : 4,498.16 = 1,353.35 : x
  2. Step 2: Convert to fraction form
    2,998.05/4,498.16 = 1,353.35/x
  3. Step 3: Cross multiply
    2,998.05x = 4,498.16 × 1,353.35
  4. Step 4: Simplify right side
    2,998.05x = 6,087,555.58
  5. Step 5: Solve for x
    x = 6,087,555.58/2,998.05
  6. Step 6: Final answer
    x = 2,030.51

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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.