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Finding the Fourth Proportional to 3,084, 4,626.72 and 1,032

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Solution

The fourth proportional to 3,084, 4,626.72 and 1,032 is: 1,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 4,626.72 = 1,032 : x
  2. Step 2: Convert to fraction form
    3,084/4,626.72 = 1,032/x
  3. Step 3: Cross multiply
    3,084x = 4,626.72 × 1,032
  4. Step 4: Simplify right side
    3,084x = 4,774,775.04
  5. Step 5: Solve for x
    x = 4,774,775.04/3,084
  6. Step 6: Final answer
    x = 1,548.24

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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.