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Finding the Fourth Proportional to 2,293.31, 3,437.59 and 906.09

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Solution

The fourth proportional to 2,293.31, 3,437.59 and 906.09 is: 1,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.31 : 3,437.59 = 906.09 : x
  2. Step 2: Convert to fraction form
    2,293.31/3,437.59 = 906.09/x
  3. Step 3: Cross multiply
    2,293.31x = 3,437.59 × 906.09
  4. Step 4: Simplify right side
    2,293.31x = 3,114,752.47
  5. Step 5: Solve for x
    x = 3,114,752.47/2,293.31
  6. Step 6: Final answer
    x = 1,358.19

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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.