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Finding the Fourth Proportional to 2,756.11, 3,801.97 and 1,746.03

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Solution

The fourth proportional to 2,756.11, 3,801.97 and 1,746.03 is: 2,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.11 : 3,801.97 = 1,746.03 : x
  2. Step 2: Convert to fraction form
    2,756.11/3,801.97 = 1,746.03/x
  3. Step 3: Cross multiply
    2,756.11x = 3,801.97 × 1,746.03
  4. Step 4: Simplify right side
    2,756.11x = 6,638,354.52
  5. Step 5: Solve for x
    x = 6,638,354.52/2,756.11
  6. Step 6: Final answer
    x = 2,408.60

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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.