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Finding the Fourth Proportional to 1,665.99, 2,498.42 and 1,202.39

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Solution

The fourth proportional to 1,665.99, 2,498.42 and 1,202.39 is: 1,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.99 : 2,498.42 = 1,202.39 : x
  2. Step 2: Convert to fraction form
    1,665.99/2,498.42 = 1,202.39/x
  3. Step 3: Cross multiply
    1,665.99x = 2,498.42 × 1,202.39
  4. Step 4: Simplify right side
    1,665.99x = 3,004,085.78
  5. Step 5: Solve for x
    x = 3,004,085.78/1,665.99
  6. Step 6: Final answer
    x = 1,803.18

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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.