Home / 2,282.16-3,419.48-964.84

Finding the Fourth Proportional to 2,282.16, 3,419.48 and 964.84

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Solution

The fourth proportional to 2,282.16, 3,419.48 and 964.84 is: 1,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.16 : 3,419.48 = 964.84 : x
  2. Step 2: Convert to fraction form
    2,282.16/3,419.48 = 964.84/x
  3. Step 3: Cross multiply
    2,282.16x = 3,419.48 × 964.84
  4. Step 4: Simplify right side
    2,282.16x = 3,299,251.08
  5. Step 5: Solve for x
    x = 3,299,251.08/2,282.16
  6. Step 6: Final answer
    x = 1,445.67

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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.