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Finding the Fourth Proportional to 1,822.40, 2,728.20 and 1,606.40

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Solution

The fourth proportional to 1,822.40, 2,728.20 and 1,606.40 is: 2,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.40 : 2,728.20 = 1,606.40 : x
  2. Step 2: Convert to fraction form
    1,822.40/2,728.20 = 1,606.40/x
  3. Step 3: Cross multiply
    1,822.40x = 2,728.20 × 1,606.40
  4. Step 4: Simplify right side
    1,822.40x = 4,382,580.48
  5. Step 5: Solve for x
    x = 4,382,580.48/1,822.40
  6. Step 6: Final answer
    x = 2,404.84

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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.