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Finding the Fourth Proportional to 1,624.92, 2,242.44 and 926.25

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Solution

The fourth proportional to 1,624.92, 2,242.44 and 926.25 is: 1,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.92 : 2,242.44 = 926.25 : x
  2. Step 2: Convert to fraction form
    1,624.92/2,242.44 = 926.25/x
  3. Step 3: Cross multiply
    1,624.92x = 2,242.44 × 926.25
  4. Step 4: Simplify right side
    1,624.92x = 2,077,060.05
  5. Step 5: Solve for x
    x = 2,077,060.05/1,624.92
  6. Step 6: Final answer
    x = 1,278.25

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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.