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Finding the Fourth Proportional to 1,949.78, 2,909.74 and 1,742.02

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Solution

The fourth proportional to 1,949.78, 2,909.74 and 1,742.02 is: 2,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.78 : 2,909.74 = 1,742.02 : x
  2. Step 2: Convert to fraction form
    1,949.78/2,909.74 = 1,742.02/x
  3. Step 3: Cross multiply
    1,949.78x = 2,909.74 × 1,742.02
  4. Step 4: Simplify right side
    1,949.78x = 5,068,825.27
  5. Step 5: Solve for x
    x = 5,068,825.27/1,949.78
  6. Step 6: Final answer
    x = 2,599.69

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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.