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Finding the Fourth Proportional to 2,296.47, 3,446.70 and 1,257.42

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Solution

The fourth proportional to 2,296.47, 3,446.70 and 1,257.42 is: 1,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.47 : 3,446.70 = 1,257.42 : x
  2. Step 2: Convert to fraction form
    2,296.47/3,446.70 = 1,257.42/x
  3. Step 3: Cross multiply
    2,296.47x = 3,446.70 × 1,257.42
  4. Step 4: Simplify right side
    2,296.47x = 4,333,949.51
  5. Step 5: Solve for x
    x = 4,333,949.51/2,296.47
  6. Step 6: Final answer
    x = 1,887.22

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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.