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Finding the Fourth Proportional to 2,426.63, 3,640.01 and 783.34

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Solution

The fourth proportional to 2,426.63, 3,640.01 and 783.34 is: 1,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.63 : 3,640.01 = 783.34 : x
  2. Step 2: Convert to fraction form
    2,426.63/3,640.01 = 783.34/x
  3. Step 3: Cross multiply
    2,426.63x = 3,640.01 × 783.34
  4. Step 4: Simplify right side
    2,426.63x = 2,851,352.42
  5. Step 5: Solve for x
    x = 2,851,352.42/2,426.63
  6. Step 6: Final answer
    x = 1,175.03

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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.