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Finding the Fourth Proportional to 2,291.94, 3,438.99 and 1,252.98

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Solution

The fourth proportional to 2,291.94, 3,438.99 and 1,252.98 is: 1,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.94 : 3,438.99 = 1,252.98 : x
  2. Step 2: Convert to fraction form
    2,291.94/3,438.99 = 1,252.98/x
  3. Step 3: Cross multiply
    2,291.94x = 3,438.99 × 1,252.98
  4. Step 4: Simplify right side
    2,291.94x = 4,308,985.69
  5. Step 5: Solve for x
    x = 4,308,985.69/2,291.94
  6. Step 6: Final answer
    x = 1,880.06

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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.