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Finding the Fourth Proportional to 2,797.39, 3,860.45 and 1,538.50

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Solution

The fourth proportional to 2,797.39, 3,860.45 and 1,538.50 is: 2,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.39 : 3,860.45 = 1,538.50 : x
  2. Step 2: Convert to fraction form
    2,797.39/3,860.45 = 1,538.50/x
  3. Step 3: Cross multiply
    2,797.39x = 3,860.45 × 1,538.50
  4. Step 4: Simplify right side
    2,797.39x = 5,939,302.33
  5. Step 5: Solve for x
    x = 5,939,302.33/2,797.39
  6. Step 6: Final answer
    x = 2,123.16

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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.