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Finding the Fourth Proportional to 2,376.21, 3,564.24 and 732.76

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Solution

The fourth proportional to 2,376.21, 3,564.24 and 732.76 is: 1,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.21 : 3,564.24 = 732.76 : x
  2. Step 2: Convert to fraction form
    2,376.21/3,564.24 = 732.76/x
  3. Step 3: Cross multiply
    2,376.21x = 3,564.24 × 732.76
  4. Step 4: Simplify right side
    2,376.21x = 2,611,732.50
  5. Step 5: Solve for x
    x = 2,611,732.50/2,376.21
  6. Step 6: Final answer
    x = 1,099.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.