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Finding the Fourth Proportional to 2,207.95, 3,312.40 and 747.07

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Solution

The fourth proportional to 2,207.95, 3,312.40 and 747.07 is: 1,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.95 : 3,312.40 = 747.07 : x
  2. Step 2: Convert to fraction form
    2,207.95/3,312.40 = 747.07/x
  3. Step 3: Cross multiply
    2,207.95x = 3,312.40 × 747.07
  4. Step 4: Simplify right side
    2,207.95x = 2,474,584.52
  5. Step 5: Solve for x
    x = 2,474,584.52/2,207.95
  6. Step 6: Final answer
    x = 1,120.76

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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.