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Finding the Fourth Proportional to 3,430.92, 5,146.20 and 1,122.24

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Solution

The fourth proportional to 3,430.92, 5,146.20 and 1,122.24 is: 1,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.92 : 5,146.20 = 1,122.24 : x
  2. Step 2: Convert to fraction form
    3,430.92/5,146.20 = 1,122.24/x
  3. Step 3: Cross multiply
    3,430.92x = 5,146.20 × 1,122.24
  4. Step 4: Simplify right side
    3,430.92x = 5,775,271.49
  5. Step 5: Solve for x
    x = 5,775,271.49/3,430.92
  6. Step 6: Final answer
    x = 1,683.30

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