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Finding the Fourth Proportional to 1,690.09, 2,535.24 and 812.77

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Solution

The fourth proportional to 1,690.09, 2,535.24 and 812.77 is: 1,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.09 : 2,535.24 = 812.77 : x
  2. Step 2: Convert to fraction form
    1,690.09/2,535.24 = 812.77/x
  3. Step 3: Cross multiply
    1,690.09x = 2,535.24 × 812.77
  4. Step 4: Simplify right side
    1,690.09x = 2,060,573.35
  5. Step 5: Solve for x
    x = 2,060,573.35/1,690.09
  6. Step 6: Final answer
    x = 1,219.21

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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.