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Finding the Fourth Proportional to 1,829.60, 2,524.84 and 990.30

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Solution

The fourth proportional to 1,829.60, 2,524.84 and 990.30 is: 1,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.60 : 2,524.84 = 990.30 : x
  2. Step 2: Convert to fraction form
    1,829.60/2,524.84 = 990.30/x
  3. Step 3: Cross multiply
    1,829.60x = 2,524.84 × 990.30
  4. Step 4: Simplify right side
    1,829.60x = 2,500,349.05
  5. Step 5: Solve for x
    x = 2,500,349.05/1,829.60
  6. Step 6: Final answer
    x = 1,366.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.