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Finding the Fourth Proportional to 2,981.52, 4,114.29 and 1,636.92

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Solution

The fourth proportional to 2,981.52, 4,114.29 and 1,636.92 is: 2,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.52 : 4,114.29 = 1,636.92 : x
  2. Step 2: Convert to fraction form
    2,981.52/4,114.29 = 1,636.92/x
  3. Step 3: Cross multiply
    2,981.52x = 4,114.29 × 1,636.92
  4. Step 4: Simplify right side
    2,981.52x = 6,734,763.59
  5. Step 5: Solve for x
    x = 6,734,763.59/2,981.52
  6. Step 6: Final answer
    x = 2,258.84

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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.