Home / 2,292.96-3,438.73-976.70

Finding the Fourth Proportional to 2,292.96, 3,438.73 and 976.70

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Solution

The fourth proportional to 2,292.96, 3,438.73 and 976.70 is: 1,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.96 : 3,438.73 = 976.70 : x
  2. Step 2: Convert to fraction form
    2,292.96/3,438.73 = 976.70/x
  3. Step 3: Cross multiply
    2,292.96x = 3,438.73 × 976.70
  4. Step 4: Simplify right side
    2,292.96x = 3,358,587.96
  5. Step 5: Solve for x
    x = 3,358,587.96/2,292.96
  6. Step 6: Final answer
    x = 1,464.74

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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.