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Finding the Fourth Proportional to 2,174.84, 3,001.23 and 1,230.59

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Solution

The fourth proportional to 2,174.84, 3,001.23 and 1,230.59 is: 1,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.84 : 3,001.23 = 1,230.59 : x
  2. Step 2: Convert to fraction form
    2,174.84/3,001.23 = 1,230.59/x
  3. Step 3: Cross multiply
    2,174.84x = 3,001.23 × 1,230.59
  4. Step 4: Simplify right side
    2,174.84x = 3,693,279.87
  5. Step 5: Solve for x
    x = 3,693,279.87/2,174.84
  6. Step 6: Final answer
    x = 1,698.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.