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Finding the Fourth Proportional to 3,022.59, 4,171.16 and 1,696.30

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Solution

The fourth proportional to 3,022.59, 4,171.16 and 1,696.30 is: 2,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.59 : 4,171.16 = 1,696.30 : x
  2. Step 2: Convert to fraction form
    3,022.59/4,171.16 = 1,696.30/x
  3. Step 3: Cross multiply
    3,022.59x = 4,171.16 × 1,696.30
  4. Step 4: Simplify right side
    3,022.59x = 7,075,538.71
  5. Step 5: Solve for x
    x = 7,075,538.71/3,022.59
  6. Step 6: Final answer
    x = 2,340.89

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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.