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Finding the Fourth Proportional to 2,647.53, 3,653.53 and 1,528.44

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Solution

The fourth proportional to 2,647.53, 3,653.53 and 1,528.44 is: 2,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.53 : 3,653.53 = 1,528.44 : x
  2. Step 2: Convert to fraction form
    2,647.53/3,653.53 = 1,528.44/x
  3. Step 3: Cross multiply
    2,647.53x = 3,653.53 × 1,528.44
  4. Step 4: Simplify right side
    2,647.53x = 5,584,201.39
  5. Step 5: Solve for x
    x = 5,584,201.39/2,647.53
  6. Step 6: Final answer
    x = 2,109.21

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1.5x scale

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.