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Finding the Fourth Proportional to 3,190, 4,402.20 and 2,259.04

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Solution

The fourth proportional to 3,190, 4,402.20 and 2,259.04 is: 3,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190 : 4,402.20 = 2,259.04 : x
  2. Step 2: Convert to fraction form
    3,190/4,402.20 = 2,259.04/x
  3. Step 3: Cross multiply
    3,190x = 4,402.20 × 2,259.04
  4. Step 4: Simplify right side
    3,190x = 9,944,745.89
  5. Step 5: Solve for x
    x = 9,944,745.89/3,190
  6. Step 6: Final answer
    x = 3,117.48

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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.