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Finding the Fourth Proportional to 3,310.34, 4,957.94 and 1,580.18

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Solution

The fourth proportional to 3,310.34, 4,957.94 and 1,580.18 is: 2,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.34 : 4,957.94 = 1,580.18 : x
  2. Step 2: Convert to fraction form
    3,310.34/4,957.94 = 1,580.18/x
  3. Step 3: Cross multiply
    3,310.34x = 4,957.94 × 1,580.18
  4. Step 4: Simplify right side
    3,310.34x = 7,834,416.79
  5. Step 5: Solve for x
    x = 7,834,416.79/3,310.34
  6. Step 6: Final answer
    x = 2,366.65

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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.