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Finding the Fourth Proportional to 2,073.16, 3,109.29 and 611.98

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Solution

The fourth proportional to 2,073.16, 3,109.29 and 611.98 is: 917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.16 : 3,109.29 = 611.98 : x
  2. Step 2: Convert to fraction form
    2,073.16/3,109.29 = 611.98/x
  3. Step 3: Cross multiply
    2,073.16x = 3,109.29 × 611.98
  4. Step 4: Simplify right side
    2,073.16x = 1,902,823.29
  5. Step 5: Solve for x
    x = 1,902,823.29/2,073.16
  6. Step 6: Final answer
    x = 917.84

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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.