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Finding the Fourth Proportional to 2,357.66, 3,536.49 and 896.47

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Solution

The fourth proportional to 2,357.66, 3,536.49 and 896.47 is: 1,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.66 : 3,536.49 = 896.47 : x
  2. Step 2: Convert to fraction form
    2,357.66/3,536.49 = 896.47/x
  3. Step 3: Cross multiply
    2,357.66x = 3,536.49 × 896.47
  4. Step 4: Simplify right side
    2,357.66x = 3,170,357.19
  5. Step 5: Solve for x
    x = 3,170,357.19/2,357.66
  6. Step 6: Final answer
    x = 1,344.71

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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.