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Finding the Fourth Proportional to 2,272.68, 3,407.60 and 1,297.44

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Solution

The fourth proportional to 2,272.68, 3,407.60 and 1,297.44 is: 1,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.68 : 3,407.60 = 1,297.44 : x
  2. Step 2: Convert to fraction form
    2,272.68/3,407.60 = 1,297.44/x
  3. Step 3: Cross multiply
    2,272.68x = 3,407.60 × 1,297.44
  4. Step 4: Simplify right side
    2,272.68x = 4,421,159.79
  5. Step 5: Solve for x
    x = 4,421,159.79/2,272.68
  6. Step 6: Final answer
    x = 1,945.35

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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.