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Finding the Fourth Proportional to 2,701.44, 3,726 and 2,038.32

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Solution

The fourth proportional to 2,701.44, 3,726 and 2,038.32 is: 2,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.44 : 3,726 = 2,038.32 : x
  2. Step 2: Convert to fraction form
    2,701.44/3,726 = 2,038.32/x
  3. Step 3: Cross multiply
    2,701.44x = 3,726 × 2,038.32
  4. Step 4: Simplify right side
    2,701.44x = 7,594,780.32
  5. Step 5: Solve for x
    x = 7,594,780.32/2,701.44
  6. Step 6: Final answer
    x = 2,811.38

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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.