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Finding the Fourth Proportional to 2,399.68, 3,599.52 and 1,852.66

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Solution

The fourth proportional to 2,399.68, 3,599.52 and 1,852.66 is: 2,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.68 : 3,599.52 = 1,852.66 : x
  2. Step 2: Convert to fraction form
    2,399.68/3,599.52 = 1,852.66/x
  3. Step 3: Cross multiply
    2,399.68x = 3,599.52 × 1,852.66
  4. Step 4: Simplify right side
    2,399.68x = 6,668,686.72
  5. Step 5: Solve for x
    x = 6,668,686.72/2,399.68
  6. Step 6: Final answer
    x = 2,778.99

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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.