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Finding the Fourth Proportional to 2,244.47, 3,366.99 and 763.94

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Solution

The fourth proportional to 2,244.47, 3,366.99 and 763.94 is: 1,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.47 : 3,366.99 = 763.94 : x
  2. Step 2: Convert to fraction form
    2,244.47/3,366.99 = 763.94/x
  3. Step 3: Cross multiply
    2,244.47x = 3,366.99 × 763.94
  4. Step 4: Simplify right side
    2,244.47x = 2,572,186.76
  5. Step 5: Solve for x
    x = 2,572,186.76/2,244.47
  6. Step 6: Final answer
    x = 1,146.01

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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.