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Finding the Fourth Proportional to 1,621.41, 2,237.28 and 922.65

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Solution

The fourth proportional to 1,621.41, 2,237.28 and 922.65 is: 1,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.41 : 2,237.28 = 922.65 : x
  2. Step 2: Convert to fraction form
    1,621.41/2,237.28 = 922.65/x
  3. Step 3: Cross multiply
    1,621.41x = 2,237.28 × 922.65
  4. Step 4: Simplify right side
    1,621.41x = 2,064,226.39
  5. Step 5: Solve for x
    x = 2,064,226.39/1,621.41
  6. Step 6: Final answer
    x = 1,273.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.