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Finding the Fourth Proportional to 2,385.75, 3,284.98 and 2,119.72

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Solution

The fourth proportional to 2,385.75, 3,284.98 and 2,119.72 is: 2,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.75 : 3,284.98 = 2,119.72 : x
  2. Step 2: Convert to fraction form
    2,385.75/3,284.98 = 2,119.72/x
  3. Step 3: Cross multiply
    2,385.75x = 3,284.98 × 2,119.72
  4. Step 4: Simplify right side
    2,385.75x = 6,963,237.81
  5. Step 5: Solve for x
    x = 6,963,237.81/2,385.75
  6. Step 6: Final answer
    x = 2,918.68

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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.