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Finding the Fourth Proportional to 2,998, 4,498.54 and 1,683.24

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Solution

The fourth proportional to 2,998, 4,498.54 and 1,683.24 is: 2,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998 : 4,498.54 = 1,683.24 : x
  2. Step 2: Convert to fraction form
    2,998/4,498.54 = 1,683.24/x
  3. Step 3: Cross multiply
    2,998x = 4,498.54 × 1,683.24
  4. Step 4: Simplify right side
    2,998x = 7,572,122.47
  5. Step 5: Solve for x
    x = 7,572,122.47/2,998
  6. Step 6: Final answer
    x = 2,525.72

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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.