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Finding the Fourth Proportional to 2,730.72, 4,096.80 and 1,064.88

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Solution

The fourth proportional to 2,730.72, 4,096.80 and 1,064.88 is: 1,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.72 : 4,096.80 = 1,064.88 : x
  2. Step 2: Convert to fraction form
    2,730.72/4,096.80 = 1,064.88/x
  3. Step 3: Cross multiply
    2,730.72x = 4,096.80 × 1,064.88
  4. Step 4: Simplify right side
    2,730.72x = 4,362,600.38
  5. Step 5: Solve for x
    x = 4,362,600.38/2,730.72
  6. Step 6: Final answer
    x = 1,597.60

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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.