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Finding the Fourth Proportional to 2,342, 3,494.84 and 2,030.96

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Solution

The fourth proportional to 2,342, 3,494.84 and 2,030.96 is: 3,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342 : 3,494.84 = 2,030.96 : x
  2. Step 2: Convert to fraction form
    2,342/3,494.84 = 2,030.96/x
  3. Step 3: Cross multiply
    2,342x = 3,494.84 × 2,030.96
  4. Step 4: Simplify right side
    2,342x = 7,097,880.25
  5. Step 5: Solve for x
    x = 7,097,880.25/2,342
  6. Step 6: Final answer
    x = 3,030.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.