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Finding the Fourth Proportional to 1,690.61, 2,334.42 and 1,442.75

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Solution

The fourth proportional to 1,690.61, 2,334.42 and 1,442.75 is: 1,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.61 : 2,334.42 = 1,442.75 : x
  2. Step 2: Convert to fraction form
    1,690.61/2,334.42 = 1,442.75/x
  3. Step 3: Cross multiply
    1,690.61x = 2,334.42 × 1,442.75
  4. Step 4: Simplify right side
    1,690.61x = 3,367,972.78
  5. Step 5: Solve for x
    x = 3,367,972.78/1,690.61
  6. Step 6: Final answer
    x = 1,992.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.