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Finding the Fourth Proportional to 4,258.68, 6,387.66 and 1,661.61

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Solution

The fourth proportional to 4,258.68, 6,387.66 and 1,661.61 is: 2,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.68 : 6,387.66 = 1,661.61 : x
  2. Step 2: Convert to fraction form
    4,258.68/6,387.66 = 1,661.61/x
  3. Step 3: Cross multiply
    4,258.68x = 6,387.66 × 1,661.61
  4. Step 4: Simplify right side
    4,258.68x = 10,613,823.69
  5. Step 5: Solve for x
    x = 10,613,823.69/4,258.68
  6. Step 6: Final answer
    x = 2,492.28

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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.