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Finding the Fourth Proportional to 2,341.64, 3,517.02 and 1,722.90

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Solution

The fourth proportional to 2,341.64, 3,517.02 and 1,722.90 is: 2,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.64 : 3,517.02 = 1,722.90 : x
  2. Step 2: Convert to fraction form
    2,341.64/3,517.02 = 1,722.90/x
  3. Step 3: Cross multiply
    2,341.64x = 3,517.02 × 1,722.90
  4. Step 4: Simplify right side
    2,341.64x = 6,059,486.95
  5. Step 5: Solve for x
    x = 6,059,486.95/2,341.64
  6. Step 6: Final answer
    x = 2,587.71

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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.