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Finding the Fourth Proportional to 1,567.42, 2,334.72 and 1,496.34

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Solution

The fourth proportional to 1,567.42, 2,334.72 and 1,496.34 is: 2,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.42 : 2,334.72 = 1,496.34 : x
  2. Step 2: Convert to fraction form
    1,567.42/2,334.72 = 1,496.34/x
  3. Step 3: Cross multiply
    1,567.42x = 2,334.72 × 1,496.34
  4. Step 4: Simplify right side
    1,567.42x = 3,493,540.54
  5. Step 5: Solve for x
    x = 3,493,540.54/1,567.42
  6. Step 6: Final answer
    x = 2,228.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.