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Finding the Fourth Proportional to 2,070.59, 2,857.41 and 1,186.88

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Solution

The fourth proportional to 2,070.59, 2,857.41 and 1,186.88 is: 1,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.59 : 2,857.41 = 1,186.88 : x
  2. Step 2: Convert to fraction form
    2,070.59/2,857.41 = 1,186.88/x
  3. Step 3: Cross multiply
    2,070.59x = 2,857.41 × 1,186.88
  4. Step 4: Simplify right side
    2,070.59x = 3,391,388.49
  5. Step 5: Solve for x
    x = 3,391,388.49/2,070.59
  6. Step 6: Final answer
    x = 1,637.89

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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.