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Finding the Fourth Proportional to 1,937.74, 2,906.36 and 621.39

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Solution

The fourth proportional to 1,937.74, 2,906.36 and 621.39 is: 932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.74 : 2,906.36 = 621.39 : x
  2. Step 2: Convert to fraction form
    1,937.74/2,906.36 = 621.39/x
  3. Step 3: Cross multiply
    1,937.74x = 2,906.36 × 621.39
  4. Step 4: Simplify right side
    1,937.74x = 1,805,968.51
  5. Step 5: Solve for x
    x = 1,805,968.51/1,937.74
  6. Step 6: Final answer
    x = 932.00

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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.