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Finding the Fourth Proportional to 2,679.90, 4,023.45 and 1,707.90

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Solution

The fourth proportional to 2,679.90, 4,023.45 and 1,707.90 is: 2,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.90 : 4,023.45 = 1,707.90 : x
  2. Step 2: Convert to fraction form
    2,679.90/4,023.45 = 1,707.90/x
  3. Step 3: Cross multiply
    2,679.90x = 4,023.45 × 1,707.90
  4. Step 4: Simplify right side
    2,679.90x = 6,871,650.26
  5. Step 5: Solve for x
    x = 6,871,650.26/2,679.90
  6. Step 6: Final answer
    x = 2,564.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.