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Finding the Fourth Proportional to 2,357.48, 3,535.72 and 896.12

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Solution

The fourth proportional to 2,357.48, 3,535.72 and 896.12 is: 1,343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.48 : 3,535.72 = 896.12 : x
  2. Step 2: Convert to fraction form
    2,357.48/3,535.72 = 896.12/x
  3. Step 3: Cross multiply
    2,357.48x = 3,535.72 × 896.12
  4. Step 4: Simplify right side
    2,357.48x = 3,168,429.41
  5. Step 5: Solve for x
    x = 3,168,429.41/2,357.48
  6. Step 6: Final answer
    x = 1,343.99

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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.