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Finding the Fourth Proportional to 2,503.74, 3,758.04 and 2,047.11

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Solution

The fourth proportional to 2,503.74, 3,758.04 and 2,047.11 is: 3,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.74 : 3,758.04 = 2,047.11 : x
  2. Step 2: Convert to fraction form
    2,503.74/3,758.04 = 2,047.11/x
  3. Step 3: Cross multiply
    2,503.74x = 3,758.04 × 2,047.11
  4. Step 4: Simplify right side
    2,503.74x = 7,693,121.26
  5. Step 5: Solve for x
    x = 7,693,121.26/2,503.74
  6. Step 6: Final answer
    x = 3,072.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.