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Finding the Fourth Proportional to 2,005.63, 2,761.21 and 1,743.55

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Solution

The fourth proportional to 2,005.63, 2,761.21 and 1,743.55 is: 2,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.63 : 2,761.21 = 1,743.55 : x
  2. Step 2: Convert to fraction form
    2,005.63/2,761.21 = 1,743.55/x
  3. Step 3: Cross multiply
    2,005.63x = 2,761.21 × 1,743.55
  4. Step 4: Simplify right side
    2,005.63x = 4,814,307.70
  5. Step 5: Solve for x
    x = 4,814,307.70/2,005.63
  6. Step 6: Final answer
    x = 2,400.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.