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Finding the Fourth Proportional to 1,597.03, 2,203.38 and 967.35

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Solution

The fourth proportional to 1,597.03, 2,203.38 and 967.35 is: 1,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.03 : 2,203.38 = 967.35 : x
  2. Step 2: Convert to fraction form
    1,597.03/2,203.38 = 967.35/x
  3. Step 3: Cross multiply
    1,597.03x = 2,203.38 × 967.35
  4. Step 4: Simplify right side
    1,597.03x = 2,131,439.64
  5. Step 5: Solve for x
    x = 2,131,439.64/1,597.03
  6. Step 6: Final answer
    x = 1,334.63

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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.