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Finding the Fourth Proportional to 1,699.75, 2,346.06 and 1,340.63

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Solution

The fourth proportional to 1,699.75, 2,346.06 and 1,340.63 is: 1,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.75 : 2,346.06 = 1,340.63 : x
  2. Step 2: Convert to fraction form
    1,699.75/2,346.06 = 1,340.63/x
  3. Step 3: Cross multiply
    1,699.75x = 2,346.06 × 1,340.63
  4. Step 4: Simplify right side
    1,699.75x = 3,145,193.91
  5. Step 5: Solve for x
    x = 3,145,193.91/1,699.75
  6. Step 6: Final answer
    x = 1,850.39

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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.