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Finding the Fourth Proportional to 2,070.85, 2,857.89 and 1,186.80

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Solution

The fourth proportional to 2,070.85, 2,857.89 and 1,186.80 is: 1,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.85 : 2,857.89 = 1,186.80 : x
  2. Step 2: Convert to fraction form
    2,070.85/2,857.89 = 1,186.80/x
  3. Step 3: Cross multiply
    2,070.85x = 2,857.89 × 1,186.80
  4. Step 4: Simplify right side
    2,070.85x = 3,391,723.63
  5. Step 5: Solve for x
    x = 3,391,723.63/2,070.85
  6. Step 6: Final answer
    x = 1,637.85

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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.