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Finding the Fourth Proportional to 2,551.44, 3,518.12 and 1,654.16

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Solution

The fourth proportional to 2,551.44, 3,518.12 and 1,654.16 is: 2,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.44 : 3,518.12 = 1,654.16 : x
  2. Step 2: Convert to fraction form
    2,551.44/3,518.12 = 1,654.16/x
  3. Step 3: Cross multiply
    2,551.44x = 3,518.12 × 1,654.16
  4. Step 4: Simplify right side
    2,551.44x = 5,819,533.38
  5. Step 5: Solve for x
    x = 5,819,533.38/2,551.44
  6. Step 6: Final answer
    x = 2,280.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.