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Finding the Fourth Proportional to 2,291.51, 3,443.40 and 2,005.80

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Solution

The fourth proportional to 2,291.51, 3,443.40 and 2,005.80 is: 3,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.51 : 3,443.40 = 2,005.80 : x
  2. Step 2: Convert to fraction form
    2,291.51/3,443.40 = 2,005.80/x
  3. Step 3: Cross multiply
    2,291.51x = 3,443.40 × 2,005.80
  4. Step 4: Simplify right side
    2,291.51x = 6,906,771.72
  5. Step 5: Solve for x
    x = 6,906,771.72/2,291.51
  6. Step 6: Final answer
    x = 3,014.07

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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.