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Finding the Fourth Proportional to 4,258.72, 6,389.16 and 1,660.78

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Solution

The fourth proportional to 4,258.72, 6,389.16 and 1,660.78 is: 2,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.72 : 6,389.16 = 1,660.78 : x
  2. Step 2: Convert to fraction form
    4,258.72/6,389.16 = 1,660.78/x
  3. Step 3: Cross multiply
    4,258.72x = 6,389.16 × 1,660.78
  4. Step 4: Simplify right side
    4,258.72x = 10,610,989.14
  5. Step 5: Solve for x
    x = 10,610,989.14/4,258.72
  6. Step 6: Final answer
    x = 2,491.59

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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.