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Finding the Fourth Proportional to 2,813.59, 4,215.52 and 2,235.25

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Solution

The fourth proportional to 2,813.59, 4,215.52 and 2,235.25 is: 3,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.59 : 4,215.52 = 2,235.25 : x
  2. Step 2: Convert to fraction form
    2,813.59/4,215.52 = 2,235.25/x
  3. Step 3: Cross multiply
    2,813.59x = 4,215.52 × 2,235.25
  4. Step 4: Simplify right side
    2,813.59x = 9,422,741.08
  5. Step 5: Solve for x
    x = 9,422,741.08/2,813.59
  6. Step 6: Final answer
    x = 3,349.01

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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.