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Finding the Fourth Proportional to 4,699.60, 7,049.76 and 2,102.80

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Solution

The fourth proportional to 4,699.60, 7,049.76 and 2,102.80 is: 3,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.60 : 7,049.76 = 2,102.80 : x
  2. Step 2: Convert to fraction form
    4,699.60/7,049.76 = 2,102.80/x
  3. Step 3: Cross multiply
    4,699.60x = 7,049.76 × 2,102.80
  4. Step 4: Simplify right side
    4,699.60x = 14,824,235.33
  5. Step 5: Solve for x
    x = 14,824,235.33/4,699.60
  6. Step 6: Final answer
    x = 3,154.36

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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.