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Finding the Fourth Proportional to 2,913.44, 4,020.64 and 1,654.54

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Solution

The fourth proportional to 2,913.44, 4,020.64 and 1,654.54 is: 2,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.44 : 4,020.64 = 1,654.54 : x
  2. Step 2: Convert to fraction form
    2,913.44/4,020.64 = 1,654.54/x
  3. Step 3: Cross multiply
    2,913.44x = 4,020.64 × 1,654.54
  4. Step 4: Simplify right side
    2,913.44x = 6,652,309.71
  5. Step 5: Solve for x
    x = 6,652,309.71/2,913.44
  6. Step 6: Final answer
    x = 2,283.32

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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.