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Finding the Fourth Proportional to 1,738.16, 2,593.86 and 1,553.63

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Solution

The fourth proportional to 1,738.16, 2,593.86 and 1,553.63 is: 2,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.16 : 2,593.86 = 1,553.63 : x
  2. Step 2: Convert to fraction form
    1,738.16/2,593.86 = 1,553.63/x
  3. Step 3: Cross multiply
    1,738.16x = 2,593.86 × 1,553.63
  4. Step 4: Simplify right side
    1,738.16x = 4,029,885.74
  5. Step 5: Solve for x
    x = 4,029,885.74/1,738.16
  6. Step 6: Final answer
    x = 2,318.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.