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Finding the Fourth Proportional to 2,596.71, 3,895.11 and 953.40

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Solution

The fourth proportional to 2,596.71, 3,895.11 and 953.40 is: 1,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.71 : 3,895.11 = 953.40 : x
  2. Step 2: Convert to fraction form
    2,596.71/3,895.11 = 953.40/x
  3. Step 3: Cross multiply
    2,596.71x = 3,895.11 × 953.40
  4. Step 4: Simplify right side
    2,596.71x = 3,713,597.87
  5. Step 5: Solve for x
    x = 3,713,597.87/2,596.71
  6. Step 6: Final answer
    x = 1,430.12

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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.