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Finding the Fourth Proportional to 2,184.51, 3,274.70 and 722.87

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Solution

The fourth proportional to 2,184.51, 3,274.70 and 722.87 is: 1,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.51 : 3,274.70 = 722.87 : x
  2. Step 2: Convert to fraction form
    2,184.51/3,274.70 = 722.87/x
  3. Step 3: Cross multiply
    2,184.51x = 3,274.70 × 722.87
  4. Step 4: Simplify right side
    2,184.51x = 2,367,166.02
  5. Step 5: Solve for x
    x = 2,367,166.02/2,184.51
  6. Step 6: Final answer
    x = 1,083.61

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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.