Home / 2,276.38-3,414.60-716.32

Finding the Fourth Proportional to 2,276.38, 3,414.60 and 716.32

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Solution

The fourth proportional to 2,276.38, 3,414.60 and 716.32 is: 1,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.38 : 3,414.60 = 716.32 : x
  2. Step 2: Convert to fraction form
    2,276.38/3,414.60 = 716.32/x
  3. Step 3: Cross multiply
    2,276.38x = 3,414.60 × 716.32
  4. Step 4: Simplify right side
    2,276.38x = 2,445,946.27
  5. Step 5: Solve for x
    x = 2,445,946.27/2,276.38
  6. Step 6: Final answer
    x = 1,074.49

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1.5x scale

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.