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Finding the Fourth Proportional to 1,816.48, 2,723.10 and 949.24

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Solution

The fourth proportional to 1,816.48, 2,723.10 and 949.24 is: 1,423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.48 : 2,723.10 = 949.24 : x
  2. Step 2: Convert to fraction form
    1,816.48/2,723.10 = 949.24/x
  3. Step 3: Cross multiply
    1,816.48x = 2,723.10 × 949.24
  4. Step 4: Simplify right side
    1,816.48x = 2,584,875.44
  5. Step 5: Solve for x
    x = 2,584,875.44/1,816.48
  6. Step 6: Final answer
    x = 1,423.01

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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.