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Finding the Fourth Proportional to 2,332.92, 3,495.26 and 2,078.68

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Solution

The fourth proportional to 2,332.92, 3,495.26 and 2,078.68 is: 3,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.92 : 3,495.26 = 2,078.68 : x
  2. Step 2: Convert to fraction form
    2,332.92/3,495.26 = 2,078.68/x
  3. Step 3: Cross multiply
    2,332.92x = 3,495.26 × 2,078.68
  4. Step 4: Simplify right side
    2,332.92x = 7,265,527.06
  5. Step 5: Solve for x
    x = 7,265,527.06/2,332.92
  6. Step 6: Final answer
    x = 3,114.35

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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.