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Finding the Fourth Proportional to 1,567.05, 2,349.21 and 593.82

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Solution

The fourth proportional to 1,567.05, 2,349.21 and 593.82 is: 890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.05 : 2,349.21 = 593.82 : x
  2. Step 2: Convert to fraction form
    1,567.05/2,349.21 = 593.82/x
  3. Step 3: Cross multiply
    1,567.05x = 2,349.21 × 593.82
  4. Step 4: Simplify right side
    1,567.05x = 1,395,007.88
  5. Step 5: Solve for x
    x = 1,395,007.88/1,567.05
  6. Step 6: Final answer
    x = 890.21

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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.