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Finding the Fourth Proportional to 2,283.63, 3,425.54 and 984.21

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Solution

The fourth proportional to 2,283.63, 3,425.54 and 984.21 is: 1,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.63 : 3,425.54 = 984.21 : x
  2. Step 2: Convert to fraction form
    2,283.63/3,425.54 = 984.21/x
  3. Step 3: Cross multiply
    2,283.63x = 3,425.54 × 984.21
  4. Step 4: Simplify right side
    2,283.63x = 3,371,445.80
  5. Step 5: Solve for x
    x = 3,371,445.80/2,283.63
  6. Step 6: Final answer
    x = 1,476.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.