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Finding the Fourth Proportional to 1,416.88, 1,956.23 and 886.56

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Solution

The fourth proportional to 1,416.88, 1,956.23 and 886.56 is: 1,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.88 : 1,956.23 = 886.56 : x
  2. Step 2: Convert to fraction form
    1,416.88/1,956.23 = 886.56/x
  3. Step 3: Cross multiply
    1,416.88x = 1,956.23 × 886.56
  4. Step 4: Simplify right side
    1,416.88x = 1,734,317.49
  5. Step 5: Solve for x
    x = 1,734,317.49/1,416.88
  6. Step 6: Final answer
    x = 1,224.04

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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.