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Finding the Fourth Proportional to 2,995.65, 4,493.61 and 1,534.41

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Solution

The fourth proportional to 2,995.65, 4,493.61 and 1,534.41 is: 2,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.65 : 4,493.61 = 1,534.41 : x
  2. Step 2: Convert to fraction form
    2,995.65/4,493.61 = 1,534.41/x
  3. Step 3: Cross multiply
    2,995.65x = 4,493.61 × 1,534.41
  4. Step 4: Simplify right side
    2,995.65x = 6,895,040.12
  5. Step 5: Solve for x
    x = 6,895,040.12/2,995.65
  6. Step 6: Final answer
    x = 2,301.68

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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.