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Finding the Fourth Proportional to 1,597.63, 2,204.76 and 889.53

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Solution

The fourth proportional to 1,597.63, 2,204.76 and 889.53 is: 1,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.63 : 2,204.76 = 889.53 : x
  2. Step 2: Convert to fraction form
    1,597.63/2,204.76 = 889.53/x
  3. Step 3: Cross multiply
    1,597.63x = 2,204.76 × 889.53
  4. Step 4: Simplify right side
    1,597.63x = 1,961,184.69
  5. Step 5: Solve for x
    x = 1,961,184.69/1,597.63
  6. Step 6: Final answer
    x = 1,227.56

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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.