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Finding the Fourth Proportional to 3,319.70, 4,581.05 and 1,827.46

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Solution

The fourth proportional to 3,319.70, 4,581.05 and 1,827.46 is: 2,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.70 : 4,581.05 = 1,827.46 : x
  2. Step 2: Convert to fraction form
    3,319.70/4,581.05 = 1,827.46/x
  3. Step 3: Cross multiply
    3,319.70x = 4,581.05 × 1,827.46
  4. Step 4: Simplify right side
    3,319.70x = 8,371,685.63
  5. Step 5: Solve for x
    x = 8,371,685.63/3,319.70
  6. Step 6: Final answer
    x = 2,521.82

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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.