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Finding the Fourth Proportional to 2,751.25, 4,120.47 and 1,653.19

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Solution

The fourth proportional to 2,751.25, 4,120.47 and 1,653.19 is: 2,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.25 : 4,120.47 = 1,653.19 : x
  2. Step 2: Convert to fraction form
    2,751.25/4,120.47 = 1,653.19/x
  3. Step 3: Cross multiply
    2,751.25x = 4,120.47 × 1,653.19
  4. Step 4: Simplify right side
    2,751.25x = 6,811,919.80
  5. Step 5: Solve for x
    x = 6,811,919.80/2,751.25
  6. Step 6: Final answer
    x = 2,475.94

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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.