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Finding the Fourth Proportional to 1,817.28, 2,727.36 and 953.28

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Solution

The fourth proportional to 1,817.28, 2,727.36 and 953.28 is: 1,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.28 : 2,727.36 = 953.28 : x
  2. Step 2: Convert to fraction form
    1,817.28/2,727.36 = 953.28/x
  3. Step 3: Cross multiply
    1,817.28x = 2,727.36 × 953.28
  4. Step 4: Simplify right side
    1,817.28x = 2,599,937.74
  5. Step 5: Solve for x
    x = 2,599,937.74/1,817.28
  6. Step 6: Final answer
    x = 1,430.68

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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.