Home / 1,442.16-2,162.64-517.44

Finding the Fourth Proportional to 1,442.16, 2,162.64 and 517.44

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Solution

The fourth proportional to 1,442.16, 2,162.64 and 517.44 is: 775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.16 : 2,162.64 = 517.44 : x
  2. Step 2: Convert to fraction form
    1,442.16/2,162.64 = 517.44/x
  3. Step 3: Cross multiply
    1,442.16x = 2,162.64 × 517.44
  4. Step 4: Simplify right side
    1,442.16x = 1,119,036.44
  5. Step 5: Solve for x
    x = 1,119,036.44/1,442.16
  6. Step 6: Final answer
    x = 775.94

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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.