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Finding the Fourth Proportional to 2,174.67, 3,002.49 and 1,290.76

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Solution

The fourth proportional to 2,174.67, 3,002.49 and 1,290.76 is: 1,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.67 : 3,002.49 = 1,290.76 : x
  2. Step 2: Convert to fraction form
    2,174.67/3,002.49 = 1,290.76/x
  3. Step 3: Cross multiply
    2,174.67x = 3,002.49 × 1,290.76
  4. Step 4: Simplify right side
    2,174.67x = 3,875,486.49
  5. Step 5: Solve for x
    x = 3,875,486.49/2,174.67
  6. Step 6: Final answer
    x = 1,782.10

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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.