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Finding the Fourth Proportional to 1,597.55, 2,204.72 and 968.14

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Solution

The fourth proportional to 1,597.55, 2,204.72 and 968.14 is: 1,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.55 : 2,204.72 = 968.14 : x
  2. Step 2: Convert to fraction form
    1,597.55/2,204.72 = 968.14/x
  3. Step 3: Cross multiply
    1,597.55x = 2,204.72 × 968.14
  4. Step 4: Simplify right side
    1,597.55x = 2,134,471.30
  5. Step 5: Solve for x
    x = 2,134,471.30/1,597.55
  6. Step 6: Final answer
    x = 1,336.09

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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.