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Finding the Fourth Proportional to 2,275.78, 3,136.44 and 1,567.66

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Solution

The fourth proportional to 2,275.78, 3,136.44 and 1,567.66 is: 2,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.78 : 3,136.44 = 1,567.66 : x
  2. Step 2: Convert to fraction form
    2,275.78/3,136.44 = 1,567.66/x
  3. Step 3: Cross multiply
    2,275.78x = 3,136.44 × 1,567.66
  4. Step 4: Simplify right side
    2,275.78x = 4,916,871.53
  5. Step 5: Solve for x
    x = 4,916,871.53/2,275.78
  6. Step 6: Final answer
    x = 2,160.52

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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.