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Finding the Fourth Proportional to 2,069.72, 3,104.58 and 530.72

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Solution

The fourth proportional to 2,069.72, 3,104.58 and 530.72 is: 796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.72 : 3,104.58 = 530.72 : x
  2. Step 2: Convert to fraction form
    2,069.72/3,104.58 = 530.72/x
  3. Step 3: Cross multiply
    2,069.72x = 3,104.58 × 530.72
  4. Step 4: Simplify right side
    2,069.72x = 1,647,657.82
  5. Step 5: Solve for x
    x = 1,647,657.82/2,069.72
  6. Step 6: Final answer
    x = 796.08

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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.