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Finding the Fourth Proportional to 1,690.86, 2,535.06 and 1,141.68

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Solution

The fourth proportional to 1,690.86, 2,535.06 and 1,141.68 is: 1,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.86 : 2,535.06 = 1,141.68 : x
  2. Step 2: Convert to fraction form
    1,690.86/2,535.06 = 1,141.68/x
  3. Step 3: Cross multiply
    1,690.86x = 2,535.06 × 1,141.68
  4. Step 4: Simplify right side
    1,690.86x = 2,894,227.30
  5. Step 5: Solve for x
    x = 2,894,227.30/1,690.86
  6. Step 6: Final answer
    x = 1,711.69

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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.