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Finding the Fourth Proportional to 1,661.59, 2,472.77 and 1,606.23

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Solution

The fourth proportional to 1,661.59, 2,472.77 and 1,606.23 is: 2,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.59 : 2,472.77 = 1,606.23 : x
  2. Step 2: Convert to fraction form
    1,661.59/2,472.77 = 1,606.23/x
  3. Step 3: Cross multiply
    1,661.59x = 2,472.77 × 1,606.23
  4. Step 4: Simplify right side
    1,661.59x = 3,971,837.36
  5. Step 5: Solve for x
    x = 3,971,837.36/1,661.59
  6. Step 6: Final answer
    x = 2,390.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.