Home / 1,217.76-1,830.60-976.92

Finding the Fourth Proportional to 1,217.76, 1,830.60 and 976.92

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Solution

The fourth proportional to 1,217.76, 1,830.60 and 976.92 is: 1,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.76 : 1,830.60 = 976.92 : x
  2. Step 2: Convert to fraction form
    1,217.76/1,830.60 = 976.92/x
  3. Step 3: Cross multiply
    1,217.76x = 1,830.60 × 976.92
  4. Step 4: Simplify right side
    1,217.76x = 1,788,349.75
  5. Step 5: Solve for x
    x = 1,788,349.75/1,217.76
  6. Step 6: Final answer
    x = 1,468.56

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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.