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Finding the Fourth Proportional to 2,969.87, 4,097.09 and 1,710.59

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Solution

The fourth proportional to 2,969.87, 4,097.09 and 1,710.59 is: 2,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.87 : 4,097.09 = 1,710.59 : x
  2. Step 2: Convert to fraction form
    2,969.87/4,097.09 = 1,710.59/x
  3. Step 3: Cross multiply
    2,969.87x = 4,097.09 × 1,710.59
  4. Step 4: Simplify right side
    2,969.87x = 7,008,432.63
  5. Step 5: Solve for x
    x = 7,008,432.63/2,969.87
  6. Step 6: Final answer
    x = 2,359.85

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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.