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Finding the Fourth Proportional to 2,928.84, 4,390.92 and 2,002.08

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Solution

The fourth proportional to 2,928.84, 4,390.92 and 2,002.08 is: 3,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.84 : 4,390.92 = 2,002.08 : x
  2. Step 2: Convert to fraction form
    2,928.84/4,390.92 = 2,002.08/x
  3. Step 3: Cross multiply
    2,928.84x = 4,390.92 × 2,002.08
  4. Step 4: Simplify right side
    2,928.84x = 8,790,973.11
  5. Step 5: Solve for x
    x = 8,790,973.11/2,928.84
  6. Step 6: Final answer
    x = 3,001.52

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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.