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Finding the Fourth Proportional to 1,624.75, 2,242.20 and 926.13

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Solution

The fourth proportional to 1,624.75, 2,242.20 and 926.13 is: 1,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.75 : 2,242.20 = 926.13 : x
  2. Step 2: Convert to fraction form
    1,624.75/2,242.20 = 926.13/x
  3. Step 3: Cross multiply
    1,624.75x = 2,242.20 × 926.13
  4. Step 4: Simplify right side
    1,624.75x = 2,076,568.69
  5. Step 5: Solve for x
    x = 2,076,568.69/1,624.75
  6. Step 6: Final answer
    x = 1,278.09

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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.