Home / 2,414.19-3,621.57-770.16

Finding the Fourth Proportional to 2,414.19, 3,621.57 and 770.16

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Solution

The fourth proportional to 2,414.19, 3,621.57 and 770.16 is: 1,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.19 : 3,621.57 = 770.16 : x
  2. Step 2: Convert to fraction form
    2,414.19/3,621.57 = 770.16/x
  3. Step 3: Cross multiply
    2,414.19x = 3,621.57 × 770.16
  4. Step 4: Simplify right side
    2,414.19x = 2,789,188.35
  5. Step 5: Solve for x
    x = 2,789,188.35/2,414.19
  6. Step 6: Final answer
    x = 1,155.33

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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.