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Finding the Fourth Proportional to 2,384.60, 3,283.56 and 1,990.92

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Solution

The fourth proportional to 2,384.60, 3,283.56 and 1,990.92 is: 2,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.60 : 3,283.56 = 1,990.92 : x
  2. Step 2: Convert to fraction form
    2,384.60/3,283.56 = 1,990.92/x
  3. Step 3: Cross multiply
    2,384.60x = 3,283.56 × 1,990.92
  4. Step 4: Simplify right side
    2,384.60x = 6,537,305.28
  5. Step 5: Solve for x
    x = 6,537,305.28/2,384.60
  6. Step 6: Final answer
    x = 2,741.47

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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.