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Finding the Fourth Proportional to 2,717.69, 3,750.20 and 1,538.84

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Solution

The fourth proportional to 2,717.69, 3,750.20 and 1,538.84 is: 2,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.69 : 3,750.20 = 1,538.84 : x
  2. Step 2: Convert to fraction form
    2,717.69/3,750.20 = 1,538.84/x
  3. Step 3: Cross multiply
    2,717.69x = 3,750.20 × 1,538.84
  4. Step 4: Simplify right side
    2,717.69x = 5,770,931.32
  5. Step 5: Solve for x
    x = 5,770,931.32/2,717.69
  6. Step 6: Final answer
    x = 2,123.47

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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.