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Finding the Fourth Proportional to 2,070.85, 2,857.83 and 1,186.94

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Solution

The fourth proportional to 2,070.85, 2,857.83 and 1,186.94 is: 1,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.85 : 2,857.83 = 1,186.94 : x
  2. Step 2: Convert to fraction form
    2,070.85/2,857.83 = 1,186.94/x
  3. Step 3: Cross multiply
    2,070.85x = 2,857.83 × 1,186.94
  4. Step 4: Simplify right side
    2,070.85x = 3,392,072.74
  5. Step 5: Solve for x
    x = 3,392,072.74/2,070.85
  6. Step 6: Final answer
    x = 1,638.01

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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.