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Finding the Fourth Proportional to 2,277.24, 3,416.73 and 891.57

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Solution

The fourth proportional to 2,277.24, 3,416.73 and 891.57 is: 1,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.24 : 3,416.73 = 891.57 : x
  2. Step 2: Convert to fraction form
    2,277.24/3,416.73 = 891.57/x
  3. Step 3: Cross multiply
    2,277.24x = 3,416.73 × 891.57
  4. Step 4: Simplify right side
    2,277.24x = 3,046,249.51
  5. Step 5: Solve for x
    x = 3,046,249.51/2,277.24
  6. Step 6: Final answer
    x = 1,337.69

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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.