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Finding the Fourth Proportional to 1,567.61, 2,162.74 and 1,096.26

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Solution

The fourth proportional to 1,567.61, 2,162.74 and 1,096.26 is: 1,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.61 : 2,162.74 = 1,096.26 : x
  2. Step 2: Convert to fraction form
    1,567.61/2,162.74 = 1,096.26/x
  3. Step 3: Cross multiply
    1,567.61x = 2,162.74 × 1,096.26
  4. Step 4: Simplify right side
    1,567.61x = 2,370,917.20
  5. Step 5: Solve for x
    x = 2,370,917.20/1,567.61
  6. Step 6: Final answer
    x = 1,512.44

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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.