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Finding the Fourth Proportional to 2,738.59, 3,780.07 and 2,369.53

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Solution

The fourth proportional to 2,738.59, 3,780.07 and 2,369.53 is: 3,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.59 : 3,780.07 = 2,369.53 : x
  2. Step 2: Convert to fraction form
    2,738.59/3,780.07 = 2,369.53/x
  3. Step 3: Cross multiply
    2,738.59x = 3,780.07 × 2,369.53
  4. Step 4: Simplify right side
    2,738.59x = 8,957,001.40
  5. Step 5: Solve for x
    x = 8,957,001.40/2,738.59
  6. Step 6: Final answer
    x = 3,270.66

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1.5x scale

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.