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Finding the Fourth Proportional to 2,192.07, 3,287.61 and 632.07

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Solution

The fourth proportional to 2,192.07, 3,287.61 and 632.07 is: 947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.07 : 3,287.61 = 632.07 : x
  2. Step 2: Convert to fraction form
    2,192.07/3,287.61 = 632.07/x
  3. Step 3: Cross multiply
    2,192.07x = 3,287.61 × 632.07
  4. Step 4: Simplify right side
    2,192.07x = 2,077,999.65
  5. Step 5: Solve for x
    x = 2,077,999.65/2,192.07
  6. Step 6: Final answer
    x = 947.96

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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.