Home / 2,148.16-3,222.28-761.52

Finding the Fourth Proportional to 2,148.16, 3,222.28 and 761.52

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Solution

The fourth proportional to 2,148.16, 3,222.28 and 761.52 is: 1,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.16 : 3,222.28 = 761.52 : x
  2. Step 2: Convert to fraction form
    2,148.16/3,222.28 = 761.52/x
  3. Step 3: Cross multiply
    2,148.16x = 3,222.28 × 761.52
  4. Step 4: Simplify right side
    2,148.16x = 2,453,830.67
  5. Step 5: Solve for x
    x = 2,453,830.67/2,148.16
  6. Step 6: Final answer
    x = 1,142.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.