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Finding the Fourth Proportional to 2,848.56, 4,270.20 and 1,458.84

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Solution

The fourth proportional to 2,848.56, 4,270.20 and 1,458.84 is: 2,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.56 : 4,270.20 = 1,458.84 : x
  2. Step 2: Convert to fraction form
    2,848.56/4,270.20 = 1,458.84/x
  3. Step 3: Cross multiply
    2,848.56x = 4,270.20 × 1,458.84
  4. Step 4: Simplify right side
    2,848.56x = 6,229,517.22
  5. Step 5: Solve for x
    x = 6,229,517.22/2,848.56
  6. Step 6: Final answer
    x = 2,186.90

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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.