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Finding the Fourth Proportional to 2,357.66, 3,529.20 and 2,156.06

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Solution

The fourth proportional to 2,357.66, 3,529.20 and 2,156.06 is: 3,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.66 : 3,529.20 = 2,156.06 : x
  2. Step 2: Convert to fraction form
    2,357.66/3,529.20 = 2,156.06/x
  3. Step 3: Cross multiply
    2,357.66x = 3,529.20 × 2,156.06
  4. Step 4: Simplify right side
    2,357.66x = 7,609,166.95
  5. Step 5: Solve for x
    x = 7,609,166.95/2,357.66
  6. Step 6: Final answer
    x = 3,227.42

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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.