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Finding the Fourth Proportional to 2,356.81, 3,253.18 and 1,363.09

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Solution

The fourth proportional to 2,356.81, 3,253.18 and 1,363.09 is: 1,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.81 : 3,253.18 = 1,363.09 : x
  2. Step 2: Convert to fraction form
    2,356.81/3,253.18 = 1,363.09/x
  3. Step 3: Cross multiply
    2,356.81x = 3,253.18 × 1,363.09
  4. Step 4: Simplify right side
    2,356.81x = 4,434,377.13
  5. Step 5: Solve for x
    x = 4,434,377.13/2,356.81
  6. Step 6: Final answer
    x = 1,881.52

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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.