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Finding the Fourth Proportional to 2,292.36, 3,436.19 and 906.65

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Solution

The fourth proportional to 2,292.36, 3,436.19 and 906.65 is: 1,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.36 : 3,436.19 = 906.65 : x
  2. Step 2: Convert to fraction form
    2,292.36/3,436.19 = 906.65/x
  3. Step 3: Cross multiply
    2,292.36x = 3,436.19 × 906.65
  4. Step 4: Simplify right side
    2,292.36x = 3,115,421.66
  5. Step 5: Solve for x
    x = 3,115,421.66/2,292.36
  6. Step 6: Final answer
    x = 1,359.05

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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.