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Finding the Fourth Proportional to 2,848.08, 4,271.60 and 768.12

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Solution

The fourth proportional to 2,848.08, 4,271.60 and 768.12 is: 1,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.08 : 4,271.60 = 768.12 : x
  2. Step 2: Convert to fraction form
    2,848.08/4,271.60 = 768.12/x
  3. Step 3: Cross multiply
    2,848.08x = 4,271.60 × 768.12
  4. Step 4: Simplify right side
    2,848.08x = 3,281,101.39
  5. Step 5: Solve for x
    x = 3,281,101.39/2,848.08
  6. Step 6: Final answer
    x = 1,152.04

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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.