Home / 2,971.70-4,456.16-1,097.11

Finding the Fourth Proportional to 2,971.70, 4,456.16 and 1,097.11

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Solution

The fourth proportional to 2,971.70, 4,456.16 and 1,097.11 is: 1,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.70 : 4,456.16 = 1,097.11 : x
  2. Step 2: Convert to fraction form
    2,971.70/4,456.16 = 1,097.11/x
  3. Step 3: Cross multiply
    2,971.70x = 4,456.16 × 1,097.11
  4. Step 4: Simplify right side
    2,971.70x = 4,888,908.07
  5. Step 5: Solve for x
    x = 4,888,908.07/2,971.70
  6. Step 6: Final answer
    x = 1,645.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.