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Finding the Fourth Proportional to 2,596.47, 3,895.25 and 952.95

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Solution

The fourth proportional to 2,596.47, 3,895.25 and 952.95 is: 1,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.47 : 3,895.25 = 952.95 : x
  2. Step 2: Convert to fraction form
    2,596.47/3,895.25 = 952.95/x
  3. Step 3: Cross multiply
    2,596.47x = 3,895.25 × 952.95
  4. Step 4: Simplify right side
    2,596.47x = 3,711,973.72
  5. Step 5: Solve for x
    x = 3,711,973.72/2,596.47
  6. Step 6: Final answer
    x = 1,429.62

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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.