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Finding the Fourth Proportional to 2,292.22, 3,437.47 and 905.10

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Solution

The fourth proportional to 2,292.22, 3,437.47 and 905.10 is: 1,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.22 : 3,437.47 = 905.10 : x
  2. Step 2: Convert to fraction form
    2,292.22/3,437.47 = 905.10/x
  3. Step 3: Cross multiply
    2,292.22x = 3,437.47 × 905.10
  4. Step 4: Simplify right side
    2,292.22x = 3,111,254.10
  5. Step 5: Solve for x
    x = 3,111,254.10/2,292.22
  6. Step 6: Final answer
    x = 1,357.31

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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.