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Finding the Fourth Proportional to 1,609.41, 2,399.70 and 1,580.25

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Solution

The fourth proportional to 1,609.41, 2,399.70 and 1,580.25 is: 2,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.41 : 2,399.70 = 1,580.25 : x
  2. Step 2: Convert to fraction form
    1,609.41/2,399.70 = 1,580.25/x
  3. Step 3: Cross multiply
    1,609.41x = 2,399.70 × 1,580.25
  4. Step 4: Simplify right side
    1,609.41x = 3,792,125.93
  5. Step 5: Solve for x
    x = 3,792,125.93/1,609.41
  6. Step 6: Final answer
    x = 2,356.22

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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.