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Finding the Fourth Proportional to 2,788.30, 3,847.75 and 1,529.32

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Solution

The fourth proportional to 2,788.30, 3,847.75 and 1,529.32 is: 2,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.30 : 3,847.75 = 1,529.32 : x
  2. Step 2: Convert to fraction form
    2,788.30/3,847.75 = 1,529.32/x
  3. Step 3: Cross multiply
    2,788.30x = 3,847.75 × 1,529.32
  4. Step 4: Simplify right side
    2,788.30x = 5,884,441.03
  5. Step 5: Solve for x
    x = 5,884,441.03/2,788.30
  6. Step 6: Final answer
    x = 2,110.40

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