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Finding the Fourth Proportional to 2,745.99, 3,795.70 and 2,528.02

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Solution

The fourth proportional to 2,745.99, 3,795.70 and 2,528.02 is: 3,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.99 : 3,795.70 = 2,528.02 : x
  2. Step 2: Convert to fraction form
    2,745.99/3,795.70 = 2,528.02/x
  3. Step 3: Cross multiply
    2,745.99x = 3,795.70 × 2,528.02
  4. Step 4: Simplify right side
    2,745.99x = 9,595,613.42
  5. Step 5: Solve for x
    x = 9,595,613.42/2,745.99
  6. Step 6: Final answer
    x = 3,494.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.