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Finding the Fourth Proportional to 1,881.02, 2,821.49 and 648.41

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Solution

The fourth proportional to 1,881.02, 2,821.49 and 648.41 is: 972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.02 : 2,821.49 = 648.41 : x
  2. Step 2: Convert to fraction form
    1,881.02/2,821.49 = 648.41/x
  3. Step 3: Cross multiply
    1,881.02x = 2,821.49 × 648.41
  4. Step 4: Simplify right side
    1,881.02x = 1,829,468.22
  5. Step 5: Solve for x
    x = 1,829,468.22/1,881.02
  6. Step 6: Final answer
    x = 972.59

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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.