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Finding the Fourth Proportional to 2,070.66, 2,857.50 and 1,186.46

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Solution

The fourth proportional to 2,070.66, 2,857.50 and 1,186.46 is: 1,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.66 : 2,857.50 = 1,186.46 : x
  2. Step 2: Convert to fraction form
    2,070.66/2,857.50 = 1,186.46/x
  3. Step 3: Cross multiply
    2,070.66x = 2,857.50 × 1,186.46
  4. Step 4: Simplify right side
    2,070.66x = 3,390,309.45
  5. Step 5: Solve for x
    x = 3,390,309.45/2,070.66
  6. Step 6: Final answer
    x = 1,637.31

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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.