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Finding the Fourth Proportional to 1,536.24, 2,304.66 and 440.61

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Solution

The fourth proportional to 1,536.24, 2,304.66 and 440.61 is: 661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.24 : 2,304.66 = 440.61 : x
  2. Step 2: Convert to fraction form
    1,536.24/2,304.66 = 440.61/x
  3. Step 3: Cross multiply
    1,536.24x = 2,304.66 × 440.61
  4. Step 4: Simplify right side
    1,536.24x = 1,015,456.24
  5. Step 5: Solve for x
    x = 1,015,456.24/1,536.24
  6. Step 6: Final answer
    x = 661.00

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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.