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Finding the Fourth Proportional to 1,848.43, 2,772.66 and 532.21

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Solution

The fourth proportional to 1,848.43, 2,772.66 and 532.21 is: 798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.43 : 2,772.66 = 532.21 : x
  2. Step 2: Convert to fraction form
    1,848.43/2,772.66 = 532.21/x
  3. Step 3: Cross multiply
    1,848.43x = 2,772.66 × 532.21
  4. Step 4: Simplify right side
    1,848.43x = 1,475,637.38
  5. Step 5: Solve for x
    x = 1,475,637.38/1,848.43
  6. Step 6: Final answer
    x = 798.32

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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.