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Finding the Fourth Proportional to 3,116.91, 4,675.74 and 1,473.81

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Solution

The fourth proportional to 3,116.91, 4,675.74 and 1,473.81 is: 2,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.91 : 4,675.74 = 1,473.81 : x
  2. Step 2: Convert to fraction form
    3,116.91/4,675.74 = 1,473.81/x
  3. Step 3: Cross multiply
    3,116.91x = 4,675.74 × 1,473.81
  4. Step 4: Simplify right side
    3,116.91x = 6,891,152.37
  5. Step 5: Solve for x
    x = 6,891,152.37/3,116.91
  6. Step 6: Final answer
    x = 2,210.89

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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.