Home / 1,535.64-2,306.43-1,466.52

Finding the Fourth Proportional to 1,535.64, 2,306.43 and 1,466.52

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Solution

The fourth proportional to 1,535.64, 2,306.43 and 1,466.52 is: 2,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.64 : 2,306.43 = 1,466.52 : x
  2. Step 2: Convert to fraction form
    1,535.64/2,306.43 = 1,466.52/x
  3. Step 3: Cross multiply
    1,535.64x = 2,306.43 × 1,466.52
  4. Step 4: Simplify right side
    1,535.64x = 3,382,425.72
  5. Step 5: Solve for x
    x = 3,382,425.72/1,535.64
  6. Step 6: Final answer
    x = 2,202.62

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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.