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Finding the Fourth Proportional to 4,766.90, 7,148.58 and 1,646.10

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Solution

The fourth proportional to 4,766.90, 7,148.58 and 1,646.10 is: 2,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.90 : 7,148.58 = 1,646.10 : x
  2. Step 2: Convert to fraction form
    4,766.90/7,148.58 = 1,646.10/x
  3. Step 3: Cross multiply
    4,766.90x = 7,148.58 × 1,646.10
  4. Step 4: Simplify right side
    4,766.90x = 11,767,277.54
  5. Step 5: Solve for x
    x = 11,767,277.54/4,766.90
  6. Step 6: Final answer
    x = 2,468.54

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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.