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Finding the Fourth Proportional to 1,661.79, 2,498.16 and 1,388.42

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Solution

The fourth proportional to 1,661.79, 2,498.16 and 1,388.42 is: 2,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.79 : 2,498.16 = 1,388.42 : x
  2. Step 2: Convert to fraction form
    1,661.79/2,498.16 = 1,388.42/x
  3. Step 3: Cross multiply
    1,661.79x = 2,498.16 × 1,388.42
  4. Step 4: Simplify right side
    1,661.79x = 3,468,482.82
  5. Step 5: Solve for x
    x = 3,468,482.82/1,661.79
  6. Step 6: Final answer
    x = 2,087.20

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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.