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Finding the Fourth Proportional to 2,357.79, 3,536.90 and 896.96

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Solution

The fourth proportional to 2,357.79, 3,536.90 and 896.96 is: 1,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.79 : 3,536.90 = 896.96 : x
  2. Step 2: Convert to fraction form
    2,357.79/3,536.90 = 896.96/x
  3. Step 3: Cross multiply
    2,357.79x = 3,536.90 × 896.96
  4. Step 4: Simplify right side
    2,357.79x = 3,172,435.65
  5. Step 5: Solve for x
    x = 3,172,435.65/2,357.79
  6. Step 6: Final answer
    x = 1,345.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.