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Finding the Fourth Proportional to 3,407.94, 4,701.78 and 1,990.44

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Solution

The fourth proportional to 3,407.94, 4,701.78 and 1,990.44 is: 2,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.94 : 4,701.78 = 1,990.44 : x
  2. Step 2: Convert to fraction form
    3,407.94/4,701.78 = 1,990.44/x
  3. Step 3: Cross multiply
    3,407.94x = 4,701.78 × 1,990.44
  4. Step 4: Simplify right side
    3,407.94x = 9,358,610.98
  5. Step 5: Solve for x
    x = 9,358,610.98/3,407.94
  6. Step 6: Final answer
    x = 2,746.12

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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.