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Finding the Fourth Proportional to 2,634.46, 3,951.86 and 760.40

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Solution

The fourth proportional to 2,634.46, 3,951.86 and 760.40 is: 1,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.46 : 3,951.86 = 760.40 : x
  2. Step 2: Convert to fraction form
    2,634.46/3,951.86 = 760.40/x
  3. Step 3: Cross multiply
    2,634.46x = 3,951.86 × 760.40
  4. Step 4: Simplify right side
    2,634.46x = 3,004,994.34
  5. Step 5: Solve for x
    x = 3,004,994.34/2,634.46
  6. Step 6: Final answer
    x = 1,140.65

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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.