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Finding the Fourth Proportional to 2,070.49, 2,857.26 and 1,186.24

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Solution

The fourth proportional to 2,070.49, 2,857.26 and 1,186.24 is: 1,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.49 : 2,857.26 = 1,186.24 : x
  2. Step 2: Convert to fraction form
    2,070.49/2,857.26 = 1,186.24/x
  3. Step 3: Cross multiply
    2,070.49x = 2,857.26 × 1,186.24
  4. Step 4: Simplify right side
    2,070.49x = 3,389,396.10
  5. Step 5: Solve for x
    x = 3,389,396.10/2,070.49
  6. Step 6: Final answer
    x = 1,637.00

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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.