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Finding the Fourth Proportional to 2,357.20, 3,535.80 and 602.21

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Solution

The fourth proportional to 2,357.20, 3,535.80 and 602.21 is: 903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.20 : 3,535.80 = 602.21 : x
  2. Step 2: Convert to fraction form
    2,357.20/3,535.80 = 602.21/x
  3. Step 3: Cross multiply
    2,357.20x = 3,535.80 × 602.21
  4. Step 4: Simplify right side
    2,357.20x = 2,129,282.69
  5. Step 5: Solve for x
    x = 2,129,282.69/2,357.20
  6. Step 6: Final answer
    x = 903.31

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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.