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Finding the Fourth Proportional to 1,737.99, 2,606.49 and 812.66

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Solution

The fourth proportional to 1,737.99, 2,606.49 and 812.66 is: 1,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.99 : 2,606.49 = 812.66 : x
  2. Step 2: Convert to fraction form
    1,737.99/2,606.49 = 812.66/x
  3. Step 3: Cross multiply
    1,737.99x = 2,606.49 × 812.66
  4. Step 4: Simplify right side
    1,737.99x = 2,118,177.13
  5. Step 5: Solve for x
    x = 2,118,177.13/1,737.99
  6. Step 6: Final answer
    x = 1,218.75

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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.