Home / 2,298.16-3,447.20-566.76

Finding the Fourth Proportional to 2,298.16, 3,447.20 and 566.76

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Solution

The fourth proportional to 2,298.16, 3,447.20 and 566.76 is: 850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.16 : 3,447.20 = 566.76 : x
  2. Step 2: Convert to fraction form
    2,298.16/3,447.20 = 566.76/x
  3. Step 3: Cross multiply
    2,298.16x = 3,447.20 × 566.76
  4. Step 4: Simplify right side
    2,298.16x = 1,953,735.07
  5. Step 5: Solve for x
    x = 1,953,735.07/2,298.16
  6. Step 6: Final answer
    x = 850.13

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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.