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Finding the Fourth Proportional to 2,174.68, 3,001.03 and 1,230.46

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Solution

The fourth proportional to 2,174.68, 3,001.03 and 1,230.46 is: 1,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.68 : 3,001.03 = 1,230.46 : x
  2. Step 2: Convert to fraction form
    2,174.68/3,001.03 = 1,230.46/x
  3. Step 3: Cross multiply
    2,174.68x = 3,001.03 × 1,230.46
  4. Step 4: Simplify right side
    2,174.68x = 3,692,647.37
  5. Step 5: Solve for x
    x = 3,692,647.37/2,174.68
  6. Step 6: Final answer
    x = 1,698.02

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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.