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Finding the Fourth Proportional to 1,966.56, 2,713.91 and 1,070.37

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Solution

The fourth proportional to 1,966.56, 2,713.91 and 1,070.37 is: 1,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.56 : 2,713.91 = 1,070.37 : x
  2. Step 2: Convert to fraction form
    1,966.56/2,713.91 = 1,070.37/x
  3. Step 3: Cross multiply
    1,966.56x = 2,713.91 × 1,070.37
  4. Step 4: Simplify right side
    1,966.56x = 2,904,882.49
  5. Step 5: Solve for x
    x = 2,904,882.49/1,966.56
  6. Step 6: Final answer
    x = 1,477.14

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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.