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Finding the Fourth Proportional to 2,382.59, 3,574.85 and 1,084.67

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Solution

The fourth proportional to 2,382.59, 3,574.85 and 1,084.67 is: 1,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.59 : 3,574.85 = 1,084.67 : x
  2. Step 2: Convert to fraction form
    2,382.59/3,574.85 = 1,084.67/x
  3. Step 3: Cross multiply
    2,382.59x = 3,574.85 × 1,084.67
  4. Step 4: Simplify right side
    2,382.59x = 3,877,532.55
  5. Step 5: Solve for x
    x = 3,877,532.55/2,382.59
  6. Step 6: Final answer
    x = 1,627.44

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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.