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Finding the Fourth Proportional to 2,357.16, 3,534.93 and 896.73

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Solution

The fourth proportional to 2,357.16, 3,534.93 and 896.73 is: 1,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.16 : 3,534.93 = 896.73 : x
  2. Step 2: Convert to fraction form
    2,357.16/3,534.93 = 896.73/x
  3. Step 3: Cross multiply
    2,357.16x = 3,534.93 × 896.73
  4. Step 4: Simplify right side
    2,357.16x = 3,169,877.78
  5. Step 5: Solve for x
    x = 3,169,877.78/2,357.16
  6. Step 6: Final answer
    x = 1,344.79

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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.