Home / 2,289.10-3,432.97-972.83

Finding the Fourth Proportional to 2,289.10, 3,432.97 and 972.83

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Solution

The fourth proportional to 2,289.10, 3,432.97 and 972.83 is: 1,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.10 : 3,432.97 = 972.83 : x
  2. Step 2: Convert to fraction form
    2,289.10/3,432.97 = 972.83/x
  3. Step 3: Cross multiply
    2,289.10x = 3,432.97 × 972.83
  4. Step 4: Simplify right side
    2,289.10x = 3,339,696.21
  5. Step 5: Solve for x
    x = 3,339,696.21/2,289.10
  6. Step 6: Final answer
    x = 1,458.96

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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.