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Finding the Fourth Proportional to 1,700.33, 2,548.70 and 968.34

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Solution

The fourth proportional to 1,700.33, 2,548.70 and 968.34 is: 1,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.33 : 2,548.70 = 968.34 : x
  2. Step 2: Convert to fraction form
    1,700.33/2,548.70 = 968.34/x
  3. Step 3: Cross multiply
    1,700.33x = 2,548.70 × 968.34
  4. Step 4: Simplify right side
    1,700.33x = 2,468,006.95
  5. Step 5: Solve for x
    x = 2,468,006.95/1,700.33
  6. Step 6: Final answer
    x = 1,451.48

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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.