Home / 1,475.08-2,211.90-825.64

Finding the Fourth Proportional to 1,475.08, 2,211.90 and 825.64

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Solution

The fourth proportional to 1,475.08, 2,211.90 and 825.64 is: 1,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.08 : 2,211.90 = 825.64 : x
  2. Step 2: Convert to fraction form
    1,475.08/2,211.90 = 825.64/x
  3. Step 3: Cross multiply
    1,475.08x = 2,211.90 × 825.64
  4. Step 4: Simplify right side
    1,475.08x = 1,826,233.12
  5. Step 5: Solve for x
    x = 1,826,233.12/1,475.08
  6. Step 6: Final answer
    x = 1,238.06

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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.