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Finding the Fourth Proportional to 3,165.98, 4,368.97 and 1,749.59

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Solution

The fourth proportional to 3,165.98, 4,368.97 and 1,749.59 is: 2,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.98 : 4,368.97 = 1,749.59 : x
  2. Step 2: Convert to fraction form
    3,165.98/4,368.97 = 1,749.59/x
  3. Step 3: Cross multiply
    3,165.98x = 4,368.97 × 1,749.59
  4. Step 4: Simplify right side
    3,165.98x = 7,643,875.63
  5. Step 5: Solve for x
    x = 7,643,875.63/3,165.98
  6. Step 6: Final answer
    x = 2,414.38

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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.