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Finding the Fourth Proportional to 2,235.64, 3,084.92 and 1,240.68

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Solution

The fourth proportional to 2,235.64, 3,084.92 and 1,240.68 is: 1,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.64 : 3,084.92 = 1,240.68 : x
  2. Step 2: Convert to fraction form
    2,235.64/3,084.92 = 1,240.68/x
  3. Step 3: Cross multiply
    2,235.64x = 3,084.92 × 1,240.68
  4. Step 4: Simplify right side
    2,235.64x = 3,827,398.55
  5. Step 5: Solve for x
    x = 3,827,398.55/2,235.64
  6. Step 6: Final answer
    x = 1,711.99

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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.