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Finding the Fourth Proportional to 1,596.47, 2,203.11 and 897.84

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Solution

The fourth proportional to 1,596.47, 2,203.11 and 897.84 is: 1,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.47 : 2,203.11 = 897.84 : x
  2. Step 2: Convert to fraction form
    1,596.47/2,203.11 = 897.84/x
  3. Step 3: Cross multiply
    1,596.47x = 2,203.11 × 897.84
  4. Step 4: Simplify right side
    1,596.47x = 1,978,040.28
  5. Step 5: Solve for x
    x = 1,978,040.28/1,596.47
  6. Step 6: Final answer
    x = 1,239.01

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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.