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Finding the Fourth Proportional to 2,733.93, 4,097.43 and 1,746.36

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Solution

The fourth proportional to 2,733.93, 4,097.43 and 1,746.36 is: 2,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.93 : 4,097.43 = 1,746.36 : x
  2. Step 2: Convert to fraction form
    2,733.93/4,097.43 = 1,746.36/x
  3. Step 3: Cross multiply
    2,733.93x = 4,097.43 × 1,746.36
  4. Step 4: Simplify right side
    2,733.93x = 7,155,603.22
  5. Step 5: Solve for x
    x = 7,155,603.22/2,733.93
  6. Step 6: Final answer
    x = 2,617.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.