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Finding the Fourth Proportional to 3,069.41, 4,235.64 and 1,742.94

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Solution

The fourth proportional to 3,069.41, 4,235.64 and 1,742.94 is: 2,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.41 : 4,235.64 = 1,742.94 : x
  2. Step 2: Convert to fraction form
    3,069.41/4,235.64 = 1,742.94/x
  3. Step 3: Cross multiply
    3,069.41x = 4,235.64 × 1,742.94
  4. Step 4: Simplify right side
    3,069.41x = 7,382,466.38
  5. Step 5: Solve for x
    x = 7,382,466.38/3,069.41
  6. Step 6: Final answer
    x = 2,405.17

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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.