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Finding the Fourth Proportional to 2,396.53, 3,595.38 and 753.08

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Solution

The fourth proportional to 2,396.53, 3,595.38 and 753.08 is: 1,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.53 : 3,595.38 = 753.08 : x
  2. Step 2: Convert to fraction form
    2,396.53/3,595.38 = 753.08/x
  3. Step 3: Cross multiply
    2,396.53x = 3,595.38 × 753.08
  4. Step 4: Simplify right side
    2,396.53x = 2,707,608.77
  5. Step 5: Solve for x
    x = 2,707,608.77/2,396.53
  6. Step 6: Final answer
    x = 1,129.80

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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.