Home / 2,971.23-4,456.50-780.13

Finding the Fourth Proportional to 2,971.23, 4,456.50 and 780.13

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Solution

The fourth proportional to 2,971.23, 4,456.50 and 780.13 is: 1,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.23 : 4,456.50 = 780.13 : x
  2. Step 2: Convert to fraction form
    2,971.23/4,456.50 = 780.13/x
  3. Step 3: Cross multiply
    2,971.23x = 4,456.50 × 780.13
  4. Step 4: Simplify right side
    2,971.23x = 3,476,657.84
  5. Step 5: Solve for x
    x = 3,476,657.84/2,971.23
  6. Step 6: Final answer
    x = 1,170.11

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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.