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Finding the Fourth Proportional to 4,166.74, 6,249.63 and 1,088.98

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Solution

The fourth proportional to 4,166.74, 6,249.63 and 1,088.98 is: 1,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.74 : 6,249.63 = 1,088.98 : x
  2. Step 2: Convert to fraction form
    4,166.74/6,249.63 = 1,088.98/x
  3. Step 3: Cross multiply
    4,166.74x = 6,249.63 × 1,088.98
  4. Step 4: Simplify right side
    4,166.74x = 6,805,722.08
  5. Step 5: Solve for x
    x = 6,805,722.08/4,166.74
  6. Step 6: Final answer
    x = 1,633.34

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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.