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Finding the Fourth Proportional to 2,325.66, 3,214.50 and 2,043.78

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Solution

The fourth proportional to 2,325.66, 3,214.50 and 2,043.78 is: 2,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.66 : 3,214.50 = 2,043.78 : x
  2. Step 2: Convert to fraction form
    2,325.66/3,214.50 = 2,043.78/x
  3. Step 3: Cross multiply
    2,325.66x = 3,214.50 × 2,043.78
  4. Step 4: Simplify right side
    2,325.66x = 6,569,730.81
  5. Step 5: Solve for x
    x = 6,569,730.81/2,325.66
  6. Step 6: Final answer
    x = 2,824.89

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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.