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Finding the Fourth Proportional to 2,995.75, 4,494.51 and 1,535.93

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Solution

The fourth proportional to 2,995.75, 4,494.51 and 1,535.93 is: 2,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.75 : 4,494.51 = 1,535.93 : x
  2. Step 2: Convert to fraction form
    2,995.75/4,494.51 = 1,535.93/x
  3. Step 3: Cross multiply
    2,995.75x = 4,494.51 × 1,535.93
  4. Step 4: Simplify right side
    2,995.75x = 6,903,230.27
  5. Step 5: Solve for x
    x = 6,903,230.27/2,995.75
  6. Step 6: Final answer
    x = 2,304.34

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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.