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Finding the Fourth Proportional to 2,699.60, 4,040.24 and 1,660.25

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Solution

The fourth proportional to 2,699.60, 4,040.24 and 1,660.25 is: 2,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.60 : 4,040.24 = 1,660.25 : x
  2. Step 2: Convert to fraction form
    2,699.60/4,040.24 = 1,660.25/x
  3. Step 3: Cross multiply
    2,699.60x = 4,040.24 × 1,660.25
  4. Step 4: Simplify right side
    2,699.60x = 6,707,808.46
  5. Step 5: Solve for x
    x = 6,707,808.46/2,699.60
  6. Step 6: Final answer
    x = 2,484.75

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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.