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Finding the Fourth Proportional to 2,438.04, 3,656.60 and 794.65

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Solution

The fourth proportional to 2,438.04, 3,656.60 and 794.65 is: 1,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.04 : 3,656.60 = 794.65 : x
  2. Step 2: Convert to fraction form
    2,438.04/3,656.60 = 794.65/x
  3. Step 3: Cross multiply
    2,438.04x = 3,656.60 × 794.65
  4. Step 4: Simplify right side
    2,438.04x = 2,905,694.93
  5. Step 5: Solve for x
    x = 2,905,694.93/2,438.04
  6. Step 6: Final answer
    x = 1,191.82

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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.