Home / 2,427.19-3,641.49-783.70

Finding the Fourth Proportional to 2,427.19, 3,641.49 and 783.70

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Solution

The fourth proportional to 2,427.19, 3,641.49 and 783.70 is: 1,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.19 : 3,641.49 = 783.70 : x
  2. Step 2: Convert to fraction form
    2,427.19/3,641.49 = 783.70/x
  3. Step 3: Cross multiply
    2,427.19x = 3,641.49 × 783.70
  4. Step 4: Simplify right side
    2,427.19x = 2,853,835.71
  5. Step 5: Solve for x
    x = 2,853,835.71/2,427.19
  6. Step 6: Final answer
    x = 1,175.78

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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.