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Finding the Fourth Proportional to 2,313.60, 3,478.08 and 2,142.39

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Solution

The fourth proportional to 2,313.60, 3,478.08 and 2,142.39 is: 3,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.60 : 3,478.08 = 2,142.39 : x
  2. Step 2: Convert to fraction form
    2,313.60/3,478.08 = 2,142.39/x
  3. Step 3: Cross multiply
    2,313.60x = 3,478.08 × 2,142.39
  4. Step 4: Simplify right side
    2,313.60x = 7,451,403.81
  5. Step 5: Solve for x
    x = 7,451,403.81/2,313.60
  6. Step 6: Final answer
    x = 3,220.70

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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.