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Finding the Fourth Proportional to 4,722.71, 7,081.83 and 1,602.18

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Solution

The fourth proportional to 4,722.71, 7,081.83 and 1,602.18 is: 2,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.71 : 7,081.83 = 1,602.18 : x
  2. Step 2: Convert to fraction form
    4,722.71/7,081.83 = 1,602.18/x
  3. Step 3: Cross multiply
    4,722.71x = 7,081.83 × 1,602.18
  4. Step 4: Simplify right side
    4,722.71x = 11,346,366.39
  5. Step 5: Solve for x
    x = 11,346,366.39/4,722.71
  6. Step 6: Final answer
    x = 2,402.51

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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.