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Finding the Fourth Proportional to 1,754.75, 2,421.50 and 968.78

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Solution

The fourth proportional to 1,754.75, 2,421.50 and 968.78 is: 1,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.75 : 2,421.50 = 968.78 : x
  2. Step 2: Convert to fraction form
    1,754.75/2,421.50 = 968.78/x
  3. Step 3: Cross multiply
    1,754.75x = 2,421.50 × 968.78
  4. Step 4: Simplify right side
    1,754.75x = 2,345,901.98
  5. Step 5: Solve for x
    x = 2,345,901.98/1,754.75
  6. Step 6: Final answer
    x = 1,336.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.