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Finding the Fourth Proportional to 2,365.20, 3,547.96 and 805.44

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Solution

The fourth proportional to 2,365.20, 3,547.96 and 805.44 is: 1,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.20 : 3,547.96 = 805.44 : x
  2. Step 2: Convert to fraction form
    2,365.20/3,547.96 = 805.44/x
  3. Step 3: Cross multiply
    2,365.20x = 3,547.96 × 805.44
  4. Step 4: Simplify right side
    2,365.20x = 2,857,668.90
  5. Step 5: Solve for x
    x = 2,857,668.90/2,365.20
  6. Step 6: Final answer
    x = 1,208.21

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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.