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Finding the Fourth Proportional to 2,041.68, 3,062.19 and 1,697.22

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Solution

The fourth proportional to 2,041.68, 3,062.19 and 1,697.22 is: 2,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.68 : 3,062.19 = 1,697.22 : x
  2. Step 2: Convert to fraction form
    2,041.68/3,062.19 = 1,697.22/x
  3. Step 3: Cross multiply
    2,041.68x = 3,062.19 × 1,697.22
  4. Step 4: Simplify right side
    2,041.68x = 5,197,210.11
  5. Step 5: Solve for x
    x = 5,197,210.11/2,041.68
  6. Step 6: Final answer
    x = 2,545.56

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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.