Home / 2,548-3,823.14-1,161.70

Finding the Fourth Proportional to 2,548, 3,823.14 and 1,161.70

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Solution

The fourth proportional to 2,548, 3,823.14 and 1,161.70 is: 1,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548 : 3,823.14 = 1,161.70 : x
  2. Step 2: Convert to fraction form
    2,548/3,823.14 = 1,161.70/x
  3. Step 3: Cross multiply
    2,548x = 3,823.14 × 1,161.70
  4. Step 4: Simplify right side
    2,548x = 4,441,341.74
  5. Step 5: Solve for x
    x = 4,441,341.74/2,548
  6. Step 6: Final answer
    x = 1,743.07

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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.