Home / 1,442.02-2,162.84-748.30

Finding the Fourth Proportional to 1,442.02, 2,162.84 and 748.30

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Solution

The fourth proportional to 1,442.02, 2,162.84 and 748.30 is: 1,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.02 : 2,162.84 = 748.30 : x
  2. Step 2: Convert to fraction form
    1,442.02/2,162.84 = 748.30/x
  3. Step 3: Cross multiply
    1,442.02x = 2,162.84 × 748.30
  4. Step 4: Simplify right side
    1,442.02x = 1,618,453.17
  5. Step 5: Solve for x
    x = 1,618,453.17/1,442.02
  6. Step 6: Final answer
    x = 1,122.35

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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.