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Finding the Fourth Proportional to 2,507.40, 3,761.70 and 1,207.80

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Solution

The fourth proportional to 2,507.40, 3,761.70 and 1,207.80 is: 1,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.40 : 3,761.70 = 1,207.80 : x
  2. Step 2: Convert to fraction form
    2,507.40/3,761.70 = 1,207.80/x
  3. Step 3: Cross multiply
    2,507.40x = 3,761.70 × 1,207.80
  4. Step 4: Simplify right side
    2,507.40x = 4,543,381.26
  5. Step 5: Solve for x
    x = 4,543,381.26/2,507.40
  6. Step 6: Final answer
    x = 1,811.99

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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.