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Finding the Fourth Proportional to 2,073.25, 3,109.47 and 612.15

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Solution

The fourth proportional to 2,073.25, 3,109.47 and 612.15 is: 918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.25 : 3,109.47 = 612.15 : x
  2. Step 2: Convert to fraction form
    2,073.25/3,109.47 = 612.15/x
  3. Step 3: Cross multiply
    2,073.25x = 3,109.47 × 612.15
  4. Step 4: Simplify right side
    2,073.25x = 1,903,462.06
  5. Step 5: Solve for x
    x = 1,903,462.06/2,073.25
  6. Step 6: Final answer
    x = 918.11

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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.