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Finding the Fourth Proportional to 2,170.95, 2,995.90 and 1,176.25

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Solution

The fourth proportional to 2,170.95, 2,995.90 and 1,176.25 is: 1,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.95 : 2,995.90 = 1,176.25 : x
  2. Step 2: Convert to fraction form
    2,170.95/2,995.90 = 1,176.25/x
  3. Step 3: Cross multiply
    2,170.95x = 2,995.90 × 1,176.25
  4. Step 4: Simplify right side
    2,170.95x = 3,523,927.38
  5. Step 5: Solve for x
    x = 3,523,927.38/2,170.95
  6. Step 6: Final answer
    x = 1,623.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.