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Finding the Fourth Proportional to 2,597.21, 3,893.92 and 953.47

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Solution

The fourth proportional to 2,597.21, 3,893.92 and 953.47 is: 1,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.21 : 3,893.92 = 953.47 : x
  2. Step 2: Convert to fraction form
    2,597.21/3,893.92 = 953.47/x
  3. Step 3: Cross multiply
    2,597.21x = 3,893.92 × 953.47
  4. Step 4: Simplify right side
    2,597.21x = 3,712,743.75
  5. Step 5: Solve for x
    x = 3,712,743.75/2,597.21
  6. Step 6: Final answer
    x = 1,429.51

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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.