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Finding the Fourth Proportional to 2,072.93, 3,109.42 and 612.11

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Solution

The fourth proportional to 2,072.93, 3,109.42 and 612.11 is: 918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.93 : 3,109.42 = 612.11 : x
  2. Step 2: Convert to fraction form
    2,072.93/3,109.42 = 612.11/x
  3. Step 3: Cross multiply
    2,072.93x = 3,109.42 × 612.11
  4. Step 4: Simplify right side
    2,072.93x = 1,903,307.08
  5. Step 5: Solve for x
    x = 1,903,307.08/2,072.93
  6. Step 6: Final answer
    x = 918.17

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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.