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Finding the Fourth Proportional to 1,416.88, 1,954.50 and 886.12

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Solution

The fourth proportional to 1,416.88, 1,954.50 and 886.12 is: 1,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.88 : 1,954.50 = 886.12 : x
  2. Step 2: Convert to fraction form
    1,416.88/1,954.50 = 886.12/x
  3. Step 3: Cross multiply
    1,416.88x = 1,954.50 × 886.12
  4. Step 4: Simplify right side
    1,416.88x = 1,731,921.54
  5. Step 5: Solve for x
    x = 1,731,921.54/1,416.88
  6. Step 6: Final answer
    x = 1,222.35

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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.