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Finding the Fourth Proportional to 2,174.20, 3,001 and 1,290.50

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Solution

The fourth proportional to 2,174.20, 3,001 and 1,290.50 is: 1,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.20 : 3,001 = 1,290.50 : x
  2. Step 2: Convert to fraction form
    2,174.20/3,001 = 1,290.50/x
  3. Step 3: Cross multiply
    2,174.20x = 3,001 × 1,290.50
  4. Step 4: Simplify right side
    2,174.20x = 3,872,790.50
  5. Step 5: Solve for x
    x = 3,872,790.50/2,174.20
  6. Step 6: Final answer
    x = 1,781.25

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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.