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Finding the Fourth Proportional to 3,019.28, 4,528.96 and 828.08

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Solution

The fourth proportional to 3,019.28, 4,528.96 and 828.08 is: 1,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.28 : 4,528.96 = 828.08 : x
  2. Step 2: Convert to fraction form
    3,019.28/4,528.96 = 828.08/x
  3. Step 3: Cross multiply
    3,019.28x = 4,528.96 × 828.08
  4. Step 4: Simplify right side
    3,019.28x = 3,750,341.20
  5. Step 5: Solve for x
    x = 3,750,341.20/3,019.28
  6. Step 6: Final answer
    x = 1,242.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.