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Finding the Fourth Proportional to 2,433.60, 3,632.63 and 2,142

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Solution

The fourth proportional to 2,433.60, 3,632.63 and 2,142 is: 3,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.60 : 3,632.63 = 2,142 : x
  2. Step 2: Convert to fraction form
    2,433.60/3,632.63 = 2,142/x
  3. Step 3: Cross multiply
    2,433.60x = 3,632.63 × 2,142
  4. Step 4: Simplify right side
    2,433.60x = 7,781,082.75
  5. Step 5: Solve for x
    x = 7,781,082.75/2,433.60
  6. Step 6: Final answer
    x = 3,197.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.