Home / 2,427.45-3,641.31-784.14

Finding the Fourth Proportional to 2,427.45, 3,641.31 and 784.14

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Solution

The fourth proportional to 2,427.45, 3,641.31 and 784.14 is: 1,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.45 : 3,641.31 = 784.14 : x
  2. Step 2: Convert to fraction form
    2,427.45/3,641.31 = 784.14/x
  3. Step 3: Cross multiply
    2,427.45x = 3,641.31 × 784.14
  4. Step 4: Simplify right side
    2,427.45x = 2,855,296.82
  5. Step 5: Solve for x
    x = 2,855,296.82/2,427.45
  6. Step 6: Final answer
    x = 1,176.25

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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.