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Finding the Fourth Proportional to 1,412.27, 2,117.19 and 682.36

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Solution

The fourth proportional to 1,412.27, 2,117.19 and 682.36 is: 1,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.27 : 2,117.19 = 682.36 : x
  2. Step 2: Convert to fraction form
    1,412.27/2,117.19 = 682.36/x
  3. Step 3: Cross multiply
    1,412.27x = 2,117.19 × 682.36
  4. Step 4: Simplify right side
    1,412.27x = 1,444,675.18
  5. Step 5: Solve for x
    x = 1,444,675.18/1,412.27
  6. Step 6: Final answer
    x = 1,022.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.