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Finding the Fourth Proportional to 2,272.74, 3,136.16 and 1,389.44

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Solution

The fourth proportional to 2,272.74, 3,136.16 and 1,389.44 is: 1,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.74 : 3,136.16 = 1,389.44 : x
  2. Step 2: Convert to fraction form
    2,272.74/3,136.16 = 1,389.44/x
  3. Step 3: Cross multiply
    2,272.74x = 3,136.16 × 1,389.44
  4. Step 4: Simplify right side
    2,272.74x = 4,357,483.52
  5. Step 5: Solve for x
    x = 4,357,483.52/2,272.74
  6. Step 6: Final answer
    x = 1,917.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.