Home / 2,732.40-4,098.16-784.16

Finding the Fourth Proportional to 2,732.40, 4,098.16 and 784.16

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Solution

The fourth proportional to 2,732.40, 4,098.16 and 784.16 is: 1,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.40 : 4,098.16 = 784.16 : x
  2. Step 2: Convert to fraction form
    2,732.40/4,098.16 = 784.16/x
  3. Step 3: Cross multiply
    2,732.40x = 4,098.16 × 784.16
  4. Step 4: Simplify right side
    2,732.40x = 3,213,613.15
  5. Step 5: Solve for x
    x = 3,213,613.15/2,732.40
  6. Step 6: Final answer
    x = 1,176.11

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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.