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Finding the Fourth Proportional to 1,340.43, 1,850.31 and 1,303.44

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Solution

The fourth proportional to 1,340.43, 1,850.31 and 1,303.44 is: 1,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.43 : 1,850.31 = 1,303.44 : x
  2. Step 2: Convert to fraction form
    1,340.43/1,850.31 = 1,303.44/x
  3. Step 3: Cross multiply
    1,340.43x = 1,850.31 × 1,303.44
  4. Step 4: Simplify right side
    1,340.43x = 2,411,768.07
  5. Step 5: Solve for x
    x = 2,411,768.07/1,340.43
  6. Step 6: Final answer
    x = 1,799.25

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Why These Related Problems?

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