Home / 2,971.96-4,458.45-1,023.70

Finding the Fourth Proportional to 2,971.96, 4,458.45 and 1,023.70

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Solution

The fourth proportional to 2,971.96, 4,458.45 and 1,023.70 is: 1,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.96 : 4,458.45 = 1,023.70 : x
  2. Step 2: Convert to fraction form
    2,971.96/4,458.45 = 1,023.70/x
  3. Step 3: Cross multiply
    2,971.96x = 4,458.45 × 1,023.70
  4. Step 4: Simplify right side
    2,971.96x = 4,564,115.27
  5. Step 5: Solve for x
    x = 4,564,115.27/2,971.96
  6. Step 6: Final answer
    x = 1,535.73

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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.