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Finding the Fourth Proportional to 2,009.22, 3,011.52 and 1,034.16

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Solution

The fourth proportional to 2,009.22, 3,011.52 and 1,034.16 is: 1,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.22 : 3,011.52 = 1,034.16 : x
  2. Step 2: Convert to fraction form
    2,009.22/3,011.52 = 1,034.16/x
  3. Step 3: Cross multiply
    2,009.22x = 3,011.52 × 1,034.16
  4. Step 4: Simplify right side
    2,009.22x = 3,114,393.52
  5. Step 5: Solve for x
    x = 3,114,393.52/2,009.22
  6. Step 6: Final answer
    x = 1,550.05

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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.