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Finding the Fourth Proportional to 2,041.08, 3,034.10 and 1,981.22

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Solution

The fourth proportional to 2,041.08, 3,034.10 and 1,981.22 is: 2,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.08 : 3,034.10 = 1,981.22 : x
  2. Step 2: Convert to fraction form
    2,041.08/3,034.10 = 1,981.22/x
  3. Step 3: Cross multiply
    2,041.08x = 3,034.10 × 1,981.22
  4. Step 4: Simplify right side
    2,041.08x = 6,011,219.60
  5. Step 5: Solve for x
    x = 6,011,219.60/2,041.08
  6. Step 6: Final answer
    x = 2,945.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.