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Finding the Fourth Proportional to 1,700.45, 2,546.35 and 968.75

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Solution

The fourth proportional to 1,700.45, 2,546.35 and 968.75 is: 1,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.45 : 2,546.35 = 968.75 : x
  2. Step 2: Convert to fraction form
    1,700.45/2,546.35 = 968.75/x
  3. Step 3: Cross multiply
    1,700.45x = 2,546.35 × 968.75
  4. Step 4: Simplify right side
    1,700.45x = 2,466,776.56
  5. Step 5: Solve for x
    x = 2,466,776.56/1,700.45
  6. Step 6: Final answer
    x = 1,450.66

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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.