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Finding the Fourth Proportional to 2,184.32, 3,017.32 and 1,745.30

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Solution

The fourth proportional to 2,184.32, 3,017.32 and 1,745.30 is: 2,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.32 : 3,017.32 = 1,745.30 : x
  2. Step 2: Convert to fraction form
    2,184.32/3,017.32 = 1,745.30/x
  3. Step 3: Cross multiply
    2,184.32x = 3,017.32 × 1,745.30
  4. Step 4: Simplify right side
    2,184.32x = 5,266,128.60
  5. Step 5: Solve for x
    x = 5,266,128.60/2,184.32
  6. Step 6: Final answer
    x = 2,410.88

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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.