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Finding the Fourth Proportional to 1,796.64, 2,473.92 and 1,534.08

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Solution

The fourth proportional to 1,796.64, 2,473.92 and 1,534.08 is: 2,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.64 : 2,473.92 = 1,534.08 : x
  2. Step 2: Convert to fraction form
    1,796.64/2,473.92 = 1,534.08/x
  3. Step 3: Cross multiply
    1,796.64x = 2,473.92 × 1,534.08
  4. Step 4: Simplify right side
    1,796.64x = 3,795,191.19
  5. Step 5: Solve for x
    x = 3,795,191.19/1,796.64
  6. Step 6: Final answer
    x = 2,112.38

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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.