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Finding the Fourth Proportional to 2,852.64, 3,928.77 and 2,648.52

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Solution

The fourth proportional to 2,852.64, 3,928.77 and 2,648.52 is: 3,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.64 : 3,928.77 = 2,648.52 : x
  2. Step 2: Convert to fraction form
    2,852.64/3,928.77 = 2,648.52/x
  3. Step 3: Cross multiply
    2,852.64x = 3,928.77 × 2,648.52
  4. Step 4: Simplify right side
    2,852.64x = 10,405,425.92
  5. Step 5: Solve for x
    x = 10,405,425.92/2,852.64
  6. Step 6: Final answer
    x = 3,647.65

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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.