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Finding the Fourth Proportional to 1,690.80, 2,537.03 and 1,141.77

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Solution

The fourth proportional to 1,690.80, 2,537.03 and 1,141.77 is: 1,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.80 : 2,537.03 = 1,141.77 : x
  2. Step 2: Convert to fraction form
    1,690.80/2,537.03 = 1,141.77/x
  3. Step 3: Cross multiply
    1,690.80x = 2,537.03 × 1,141.77
  4. Step 4: Simplify right side
    1,690.80x = 2,896,717.11
  5. Step 5: Solve for x
    x = 2,896,717.11/1,690.80
  6. Step 6: Final answer
    x = 1,713.23

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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.