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Finding the Fourth Proportional to 2,726.16, 3,762.05 and 2,503

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Solution

The fourth proportional to 2,726.16, 3,762.05 and 2,503 is: 3,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.16 : 3,762.05 = 2,503 : x
  2. Step 2: Convert to fraction form
    2,726.16/3,762.05 = 2,503/x
  3. Step 3: Cross multiply
    2,726.16x = 3,762.05 × 2,503
  4. Step 4: Simplify right side
    2,726.16x = 9,416,411.15
  5. Step 5: Solve for x
    x = 9,416,411.15/2,726.16
  6. Step 6: Final answer
    x = 3,454.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.