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Finding the Fourth Proportional to 4,778.60, 7,166.70 and 1,699.88

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Solution

The fourth proportional to 4,778.60, 7,166.70 and 1,699.88 is: 2,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.60 : 7,166.70 = 1,699.88 : x
  2. Step 2: Convert to fraction form
    4,778.60/7,166.70 = 1,699.88/x
  3. Step 3: Cross multiply
    4,778.60x = 7,166.70 × 1,699.88
  4. Step 4: Simplify right side
    4,778.60x = 12,182,530.00
  5. Step 5: Solve for x
    x = 12,182,530.00/4,778.60
  6. Step 6: Final answer
    x = 2,549.39

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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.