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Finding the Fourth Proportional to 2,174.54, 3,000.68 and 1,290.19

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Solution

The fourth proportional to 2,174.54, 3,000.68 and 1,290.19 is: 1,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.54 : 3,000.68 = 1,290.19 : x
  2. Step 2: Convert to fraction form
    2,174.54/3,000.68 = 1,290.19/x
  3. Step 3: Cross multiply
    2,174.54x = 3,000.68 × 1,290.19
  4. Step 4: Simplify right side
    2,174.54x = 3,871,447.33
  5. Step 5: Solve for x
    x = 3,871,447.33/2,174.54
  6. Step 6: Final answer
    x = 1,780.35

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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.