Home / 2,023.10-3,034.65-723.66

Finding the Fourth Proportional to 2,023.10, 3,034.65 and 723.66

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Solution

The fourth proportional to 2,023.10, 3,034.65 and 723.66 is: 1,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.10 : 3,034.65 = 723.66 : x
  2. Step 2: Convert to fraction form
    2,023.10/3,034.65 = 723.66/x
  3. Step 3: Cross multiply
    2,023.10x = 3,034.65 × 723.66
  4. Step 4: Simplify right side
    2,023.10x = 2,196,046.15
  5. Step 5: Solve for x
    x = 2,196,046.15/2,023.10
  6. Step 6: Final answer
    x = 1,085.49

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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.