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Finding the Fourth Proportional to 2,443.91, 3,664.49 and 800.01

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Solution

The fourth proportional to 2,443.91, 3,664.49 and 800.01 is: 1,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.91 : 3,664.49 = 800.01 : x
  2. Step 2: Convert to fraction form
    2,443.91/3,664.49 = 800.01/x
  3. Step 3: Cross multiply
    2,443.91x = 3,664.49 × 800.01
  4. Step 4: Simplify right side
    2,443.91x = 2,931,624.64
  5. Step 5: Solve for x
    x = 2,931,624.64/2,443.91
  6. Step 6: Final answer
    x = 1,199.57

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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.