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Finding the Fourth Proportional to 2,349.01, 3,522.83 and 788.84

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Solution

The fourth proportional to 2,349.01, 3,522.83 and 788.84 is: 1,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.01 : 3,522.83 = 788.84 : x
  2. Step 2: Convert to fraction form
    2,349.01/3,522.83 = 788.84/x
  3. Step 3: Cross multiply
    2,349.01x = 3,522.83 × 788.84
  4. Step 4: Simplify right side
    2,349.01x = 2,778,930.62
  5. Step 5: Solve for x
    x = 2,778,930.62/2,349.01
  6. Step 6: Final answer
    x = 1,183.02

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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.