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Finding the Fourth Proportional to 2,751.60, 3,798.66 and 2,120.74

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Solution

The fourth proportional to 2,751.60, 3,798.66 and 2,120.74 is: 2,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.60 : 3,798.66 = 2,120.74 : x
  2. Step 2: Convert to fraction form
    2,751.60/3,798.66 = 2,120.74/x
  3. Step 3: Cross multiply
    2,751.60x = 3,798.66 × 2,120.74
  4. Step 4: Simplify right side
    2,751.60x = 8,055,970.21
  5. Step 5: Solve for x
    x = 8,055,970.21/2,751.60
  6. Step 6: Final answer
    x = 2,927.74

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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.