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Finding the Fourth Proportional to 2,503.66, 3,756.71 and 1,671.26

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Solution

The fourth proportional to 2,503.66, 3,756.71 and 1,671.26 is: 2,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.66 : 3,756.71 = 1,671.26 : x
  2. Step 2: Convert to fraction form
    2,503.66/3,756.71 = 1,671.26/x
  3. Step 3: Cross multiply
    2,503.66x = 3,756.71 × 1,671.26
  4. Step 4: Simplify right side
    2,503.66x = 6,278,439.15
  5. Step 5: Solve for x
    x = 6,278,439.15/2,503.66
  6. Step 6: Final answer
    x = 2,507.70

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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.