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Finding the Fourth Proportional to 2,170.88, 2,995.80 and 1,176.14

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Solution

The fourth proportional to 2,170.88, 2,995.80 and 1,176.14 is: 1,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.88 : 2,995.80 = 1,176.14 : x
  2. Step 2: Convert to fraction form
    2,170.88/2,995.80 = 1,176.14/x
  3. Step 3: Cross multiply
    2,170.88x = 2,995.80 × 1,176.14
  4. Step 4: Simplify right side
    2,170.88x = 3,523,465.23
  5. Step 5: Solve for x
    x = 3,523,465.23/2,170.88
  6. Step 6: Final answer
    x = 1,623.06

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