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Finding the Fourth Proportional to 2,596.38, 3,895.80 and 953.52

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Solution

The fourth proportional to 2,596.38, 3,895.80 and 953.52 is: 1,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.38 : 3,895.80 = 953.52 : x
  2. Step 2: Convert to fraction form
    2,596.38/3,895.80 = 953.52/x
  3. Step 3: Cross multiply
    2,596.38x = 3,895.80 × 953.52
  4. Step 4: Simplify right side
    2,596.38x = 3,714,723.22
  5. Step 5: Solve for x
    x = 3,714,723.22/2,596.38
  6. Step 6: Final answer
    x = 1,430.73

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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.