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Finding the Fourth Proportional to 2,094.51, 3,141.59 and 613.61

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Solution

The fourth proportional to 2,094.51, 3,141.59 and 613.61 is: 920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.51 : 3,141.59 = 613.61 : x
  2. Step 2: Convert to fraction form
    2,094.51/3,141.59 = 613.61/x
  3. Step 3: Cross multiply
    2,094.51x = 3,141.59 × 613.61
  4. Step 4: Simplify right side
    2,094.51x = 1,927,711.04
  5. Step 5: Solve for x
    x = 1,927,711.04/2,094.51
  6. Step 6: Final answer
    x = 920.36

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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.