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Finding the Fourth Proportional to 2,051.68, 3,064.72 and 1,352.56

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Solution

The fourth proportional to 2,051.68, 3,064.72 and 1,352.56 is: 2,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.68 : 3,064.72 = 1,352.56 : x
  2. Step 2: Convert to fraction form
    2,051.68/3,064.72 = 1,352.56/x
  3. Step 3: Cross multiply
    2,051.68x = 3,064.72 × 1,352.56
  4. Step 4: Simplify right side
    2,051.68x = 4,145,217.68
  5. Step 5: Solve for x
    x = 4,145,217.68/2,051.68
  6. Step 6: Final answer
    x = 2,020.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.