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Finding the Fourth Proportional to 1,567.82, 2,349.91 and 700.31

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Solution

The fourth proportional to 1,567.82, 2,349.91 and 700.31 is: 1,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.82 : 2,349.91 = 700.31 : x
  2. Step 2: Convert to fraction form
    1,567.82/2,349.91 = 700.31/x
  3. Step 3: Cross multiply
    1,567.82x = 2,349.91 × 700.31
  4. Step 4: Simplify right side
    1,567.82x = 1,645,672.22
  5. Step 5: Solve for x
    x = 1,645,672.22/1,567.82
  6. Step 6: Final answer
    x = 1,049.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.