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Finding the Fourth Proportional to 2,567.66, 3,543.37 and 1,388.73

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Solution

The fourth proportional to 2,567.66, 3,543.37 and 1,388.73 is: 1,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.66 : 3,543.37 = 1,388.73 : x
  2. Step 2: Convert to fraction form
    2,567.66/3,543.37 = 1,388.73/x
  3. Step 3: Cross multiply
    2,567.66x = 3,543.37 × 1,388.73
  4. Step 4: Simplify right side
    2,567.66x = 4,920,784.22
  5. Step 5: Solve for x
    x = 4,920,784.22/2,567.66
  6. Step 6: Final answer
    x = 1,916.45

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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.