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Finding the Fourth Proportional to 2,597.10, 3,895.22 and 953.24

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Solution

The fourth proportional to 2,597.10, 3,895.22 and 953.24 is: 1,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.10 : 3,895.22 = 953.24 : x
  2. Step 2: Convert to fraction form
    2,597.10/3,895.22 = 953.24/x
  3. Step 3: Cross multiply
    2,597.10x = 3,895.22 × 953.24
  4. Step 4: Simplify right side
    2,597.10x = 3,713,062.42
  5. Step 5: Solve for x
    x = 3,713,062.42/2,597.10
  6. Step 6: Final answer
    x = 1,429.70

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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.