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Finding the Fourth Proportional to 2,176.56, 3,258.36 and 1,654.92

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Solution

The fourth proportional to 2,176.56, 3,258.36 and 1,654.92 is: 2,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.56 : 3,258.36 = 1,654.92 : x
  2. Step 2: Convert to fraction form
    2,176.56/3,258.36 = 1,654.92/x
  3. Step 3: Cross multiply
    2,176.56x = 3,258.36 × 1,654.92
  4. Step 4: Simplify right side
    2,176.56x = 5,392,325.13
  5. Step 5: Solve for x
    x = 5,392,325.13/2,176.56
  6. Step 6: Final answer
    x = 2,477.45

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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.