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Finding the Fourth Proportional to 2,363.32, 3,260.82 and 1,775.26

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Solution

The fourth proportional to 2,363.32, 3,260.82 and 1,775.26 is: 2,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.32 : 3,260.82 = 1,775.26 : x
  2. Step 2: Convert to fraction form
    2,363.32/3,260.82 = 1,775.26/x
  3. Step 3: Cross multiply
    2,363.32x = 3,260.82 × 1,775.26
  4. Step 4: Simplify right side
    2,363.32x = 5,788,803.31
  5. Step 5: Solve for x
    x = 5,788,803.31/2,363.32
  6. Step 6: Final answer
    x = 2,449.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.