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Finding the Fourth Proportional to 1,412.37, 1,949.13 and 881.56

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Solution

The fourth proportional to 1,412.37, 1,949.13 and 881.56 is: 1,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.37 : 1,949.13 = 881.56 : x
  2. Step 2: Convert to fraction form
    1,412.37/1,949.13 = 881.56/x
  3. Step 3: Cross multiply
    1,412.37x = 1,949.13 × 881.56
  4. Step 4: Simplify right side
    1,412.37x = 1,718,275.04
  5. Step 5: Solve for x
    x = 1,718,275.04/1,412.37
  6. Step 6: Final answer
    x = 1,216.59

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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.