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Finding the Fourth Proportional to 2,386.74, 3,575.91 and 2,296.83

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Solution

The fourth proportional to 2,386.74, 3,575.91 and 2,296.83 is: 3,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.74 : 3,575.91 = 2,296.83 : x
  2. Step 2: Convert to fraction form
    2,386.74/3,575.91 = 2,296.83/x
  3. Step 3: Cross multiply
    2,386.74x = 3,575.91 × 2,296.83
  4. Step 4: Simplify right side
    2,386.74x = 8,213,257.37
  5. Step 5: Solve for x
    x = 8,213,257.37/2,386.74
  6. Step 6: Final answer
    x = 3,441.20

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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.