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Finding the Fourth Proportional to 1,597.95, 2,204.76 and 967.98

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Solution

The fourth proportional to 1,597.95, 2,204.76 and 967.98 is: 1,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.95 : 2,204.76 = 967.98 : x
  2. Step 2: Convert to fraction form
    1,597.95/2,204.76 = 967.98/x
  3. Step 3: Cross multiply
    1,597.95x = 2,204.76 × 967.98
  4. Step 4: Simplify right side
    1,597.95x = 2,134,163.58
  5. Step 5: Solve for x
    x = 2,134,163.58/1,597.95
  6. Step 6: Final answer
    x = 1,335.56

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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.