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Finding the Fourth Proportional to 2,601.40, 3,902.10 and 2,332.60

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Solution

The fourth proportional to 2,601.40, 3,902.10 and 2,332.60 is: 3,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.40 : 3,902.10 = 2,332.60 : x
  2. Step 2: Convert to fraction form
    2,601.40/3,902.10 = 2,332.60/x
  3. Step 3: Cross multiply
    2,601.40x = 3,902.10 × 2,332.60
  4. Step 4: Simplify right side
    2,601.40x = 9,102,038.46
  5. Step 5: Solve for x
    x = 9,102,038.46/2,601.40
  6. Step 6: Final answer
    x = 3,498.90

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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.