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Finding the Fourth Proportional to 2,154.92, 2,967.12 and 1,684.72

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Solution

The fourth proportional to 2,154.92, 2,967.12 and 1,684.72 is: 2,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.92 : 2,967.12 = 1,684.72 : x
  2. Step 2: Convert to fraction form
    2,154.92/2,967.12 = 1,684.72/x
  3. Step 3: Cross multiply
    2,154.92x = 2,967.12 × 1,684.72
  4. Step 4: Simplify right side
    2,154.92x = 4,998,766.41
  5. Step 5: Solve for x
    x = 4,998,766.41/2,154.92
  6. Step 6: Final answer
    x = 2,319.70

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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.