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Finding the Fourth Proportional to 4,766.48, 7,150.20 and 1,646.40

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Solution

The fourth proportional to 4,766.48, 7,150.20 and 1,646.40 is: 2,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.48 : 7,150.20 = 1,646.40 : x
  2. Step 2: Convert to fraction form
    4,766.48/7,150.20 = 1,646.40/x
  3. Step 3: Cross multiply
    4,766.48x = 7,150.20 × 1,646.40
  4. Step 4: Simplify right side
    4,766.48x = 11,772,089.28
  5. Step 5: Solve for x
    x = 11,772,089.28/4,766.48
  6. Step 6: Final answer
    x = 2,469.77

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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.