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Finding the Fourth Proportional to 1,736.32, 2,605.44 and 1,043.20

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Solution

The fourth proportional to 1,736.32, 2,605.44 and 1,043.20 is: 1,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.32 : 2,605.44 = 1,043.20 : x
  2. Step 2: Convert to fraction form
    1,736.32/2,605.44 = 1,043.20/x
  3. Step 3: Cross multiply
    1,736.32x = 2,605.44 × 1,043.20
  4. Step 4: Simplify right side
    1,736.32x = 2,717,995.01
  5. Step 5: Solve for x
    x = 2,717,995.01/1,736.32
  6. Step 6: Final answer
    x = 1,565.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.