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Finding the Fourth Proportional to 2,426.81, 3,640.82 and 783.32

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Solution

The fourth proportional to 2,426.81, 3,640.82 and 783.32 is: 1,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.81 : 3,640.82 = 783.32 : x
  2. Step 2: Convert to fraction form
    2,426.81/3,640.82 = 783.32/x
  3. Step 3: Cross multiply
    2,426.81x = 3,640.82 × 783.32
  4. Step 4: Simplify right side
    2,426.81x = 2,851,927.12
  5. Step 5: Solve for x
    x = 2,851,927.12/2,426.81
  6. Step 6: Final answer
    x = 1,175.18

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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.