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Finding the Fourth Proportional to 2,376.63, 3,564.99 and 733.14

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Solution

The fourth proportional to 2,376.63, 3,564.99 and 733.14 is: 1,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.63 : 3,564.99 = 733.14 : x
  2. Step 2: Convert to fraction form
    2,376.63/3,564.99 = 733.14/x
  3. Step 3: Cross multiply
    2,376.63x = 3,564.99 × 733.14
  4. Step 4: Simplify right side
    2,376.63x = 2,613,636.77
  5. Step 5: Solve for x
    x = 2,613,636.77/2,376.63
  6. Step 6: Final answer
    x = 1,099.72

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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.