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Finding the Fourth Proportional to 2,684.85, 4,005.74 and 2,388.84

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Solution

The fourth proportional to 2,684.85, 4,005.74 and 2,388.84 is: 3,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.85 : 4,005.74 = 2,388.84 : x
  2. Step 2: Convert to fraction form
    2,684.85/4,005.74 = 2,388.84/x
  3. Step 3: Cross multiply
    2,684.85x = 4,005.74 × 2,388.84
  4. Step 4: Simplify right side
    2,684.85x = 9,569,060.00
  5. Step 5: Solve for x
    x = 9,569,060.00/2,684.85
  6. Step 6: Final answer
    x = 3,564.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.