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Finding the Fourth Proportional to 2,302.56, 3,453.84 and 1,147.68

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Solution

The fourth proportional to 2,302.56, 3,453.84 and 1,147.68 is: 1,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.56 : 3,453.84 = 1,147.68 : x
  2. Step 2: Convert to fraction form
    2,302.56/3,453.84 = 1,147.68/x
  3. Step 3: Cross multiply
    2,302.56x = 3,453.84 × 1,147.68
  4. Step 4: Simplify right side
    2,302.56x = 3,963,903.09
  5. Step 5: Solve for x
    x = 3,963,903.09/2,302.56
  6. Step 6: Final answer
    x = 1,721.52

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1.5x scale

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.