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Finding the Fourth Proportional to 2,722.46, 4,080.02 and 1,733.70

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Solution

The fourth proportional to 2,722.46, 4,080.02 and 1,733.70 is: 2,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.46 : 4,080.02 = 1,733.70 : x
  2. Step 2: Convert to fraction form
    2,722.46/4,080.02 = 1,733.70/x
  3. Step 3: Cross multiply
    2,722.46x = 4,080.02 × 1,733.70
  4. Step 4: Simplify right side
    2,722.46x = 7,073,547.06
  5. Step 5: Solve for x
    x = 7,073,547.06/2,722.46
  6. Step 6: Final answer
    x = 2,598.22

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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.