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Finding the Fourth Proportional to 2,378.82, 3,283.08 and 1,384.40

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Solution

The fourth proportional to 2,378.82, 3,283.08 and 1,384.40 is: 1,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.82 : 3,283.08 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    2,378.82/3,283.08 = 1,384.40/x
  3. Step 3: Cross multiply
    2,378.82x = 3,283.08 × 1,384.40
  4. Step 4: Simplify right side
    2,378.82x = 4,545,095.95
  5. Step 5: Solve for x
    x = 4,545,095.95/2,378.82
  6. Step 6: Final answer
    x = 1,910.65

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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.