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Finding the Fourth Proportional to 2,833.04, 4,249.08 and 753.14

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Solution

The fourth proportional to 2,833.04, 4,249.08 and 753.14 is: 1,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.04 : 4,249.08 = 753.14 : x
  2. Step 2: Convert to fraction form
    2,833.04/4,249.08 = 753.14/x
  3. Step 3: Cross multiply
    2,833.04x = 4,249.08 × 753.14
  4. Step 4: Simplify right side
    2,833.04x = 3,200,152.11
  5. Step 5: Solve for x
    x = 3,200,152.11/2,833.04
  6. Step 6: Final answer
    x = 1,129.58

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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.