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Finding the Fourth Proportional to 2,626, 3,940.64 and 1,530.88

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Solution

The fourth proportional to 2,626, 3,940.64 and 1,530.88 is: 2,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626 : 3,940.64 = 1,530.88 : x
  2. Step 2: Convert to fraction form
    2,626/3,940.64 = 1,530.88/x
  3. Step 3: Cross multiply
    2,626x = 3,940.64 × 1,530.88
  4. Step 4: Simplify right side
    2,626x = 6,032,646.96
  5. Step 5: Solve for x
    x = 6,032,646.96/2,626
  6. Step 6: Final answer
    x = 2,297.28

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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.