Home / 2,146.65-3,217.38-977.22

Finding the Fourth Proportional to 2,146.65, 3,217.38 and 977.22

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Solution

The fourth proportional to 2,146.65, 3,217.38 and 977.22 is: 1,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.65 : 3,217.38 = 977.22 : x
  2. Step 2: Convert to fraction form
    2,146.65/3,217.38 = 977.22/x
  3. Step 3: Cross multiply
    2,146.65x = 3,217.38 × 977.22
  4. Step 4: Simplify right side
    2,146.65x = 3,144,088.08
  5. Step 5: Solve for x
    x = 3,144,088.08/2,146.65
  6. Step 6: Final answer
    x = 1,464.65

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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.