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Finding the Fourth Proportional to 2,357.88, 3,535 and 896.84

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Solution

The fourth proportional to 2,357.88, 3,535 and 896.84 is: 1,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.88 : 3,535 = 896.84 : x
  2. Step 2: Convert to fraction form
    2,357.88/3,535 = 896.84/x
  3. Step 3: Cross multiply
    2,357.88x = 3,535 × 896.84
  4. Step 4: Simplify right side
    2,357.88x = 3,170,329.40
  5. Step 5: Solve for x
    x = 3,170,329.40/2,357.88
  6. Step 6: Final answer
    x = 1,344.57

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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.