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Finding the Fourth Proportional to 1,474.41, 2,206.77 and 953.09

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Solution

The fourth proportional to 1,474.41, 2,206.77 and 953.09 is: 1,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.41 : 2,206.77 = 953.09 : x
  2. Step 2: Convert to fraction form
    1,474.41/2,206.77 = 953.09/x
  3. Step 3: Cross multiply
    1,474.41x = 2,206.77 × 953.09
  4. Step 4: Simplify right side
    1,474.41x = 2,103,239.39
  5. Step 5: Solve for x
    x = 2,103,239.39/1,474.41
  6. Step 6: Final answer
    x = 1,426.50

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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.