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Finding the Fourth Proportional to 2,411.74, 3,326.04 and 2,009.31

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Solution

The fourth proportional to 2,411.74, 3,326.04 and 2,009.31 is: 2,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.74 : 3,326.04 = 2,009.31 : x
  2. Step 2: Convert to fraction form
    2,411.74/3,326.04 = 2,009.31/x
  3. Step 3: Cross multiply
    2,411.74x = 3,326.04 × 2,009.31
  4. Step 4: Simplify right side
    2,411.74x = 6,683,045.43
  5. Step 5: Solve for x
    x = 6,683,045.43/2,411.74
  6. Step 6: Final answer
    x = 2,771.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.