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Finding the Fourth Proportional to 1,536.56, 2,120.64 and 1,013.66

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Solution

The fourth proportional to 1,536.56, 2,120.64 and 1,013.66 is: 1,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.56 : 2,120.64 = 1,013.66 : x
  2. Step 2: Convert to fraction form
    1,536.56/2,120.64 = 1,013.66/x
  3. Step 3: Cross multiply
    1,536.56x = 2,120.64 × 1,013.66
  4. Step 4: Simplify right side
    1,536.56x = 2,149,607.94
  5. Step 5: Solve for x
    x = 2,149,607.94/1,536.56
  6. Step 6: Final answer
    x = 1,398.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.