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Finding the Fourth Proportional to 1,738.41, 2,608.64 and 643.55

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Solution

The fourth proportional to 1,738.41, 2,608.64 and 643.55 is: 965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.41 : 2,608.64 = 643.55 : x
  2. Step 2: Convert to fraction form
    1,738.41/2,608.64 = 643.55/x
  3. Step 3: Cross multiply
    1,738.41x = 2,608.64 × 643.55
  4. Step 4: Simplify right side
    1,738.41x = 1,678,774.01
  5. Step 5: Solve for x
    x = 1,678,774.01/1,738.41
  6. Step 6: Final answer
    x = 965.70

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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.