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Finding the Fourth Proportional to 2,108.75, 3,164.02 and 877.06

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Solution

The fourth proportional to 2,108.75, 3,164.02 and 877.06 is: 1,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.75 : 3,164.02 = 877.06 : x
  2. Step 2: Convert to fraction form
    2,108.75/3,164.02 = 877.06/x
  3. Step 3: Cross multiply
    2,108.75x = 3,164.02 × 877.06
  4. Step 4: Simplify right side
    2,108.75x = 2,775,035.38
  5. Step 5: Solve for x
    x = 2,775,035.38/2,108.75
  6. Step 6: Final answer
    x = 1,315.96

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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.