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Finding the Fourth Proportional to 1,536.14, 2,304.86 and 562.32

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Solution

The fourth proportional to 1,536.14, 2,304.86 and 562.32 is: 843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.14 : 2,304.86 = 562.32 : x
  2. Step 2: Convert to fraction form
    1,536.14/2,304.86 = 562.32/x
  3. Step 3: Cross multiply
    1,536.14x = 2,304.86 × 562.32
  4. Step 4: Simplify right side
    1,536.14x = 1,296,066.06
  5. Step 5: Solve for x
    x = 1,296,066.06/1,536.14
  6. Step 6: Final answer
    x = 843.71

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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.