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Finding the Fourth Proportional to 1,532.91, 2,300.27 and 667.22

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Solution

The fourth proportional to 1,532.91, 2,300.27 and 667.22 is: 1,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.91 : 2,300.27 = 667.22 : x
  2. Step 2: Convert to fraction form
    1,532.91/2,300.27 = 667.22/x
  3. Step 3: Cross multiply
    1,532.91x = 2,300.27 × 667.22
  4. Step 4: Simplify right side
    1,532.91x = 1,534,771.31
  5. Step 5: Solve for x
    x = 1,534,771.31/1,532.91
  6. Step 6: Final answer
    x = 1,001.21

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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.