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Finding the Fourth Proportional to 2,564.47, 3,845.34 and 1,330.64

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Solution

The fourth proportional to 2,564.47, 3,845.34 and 1,330.64 is: 1,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.47 : 3,845.34 = 1,330.64 : x
  2. Step 2: Convert to fraction form
    2,564.47/3,845.34 = 1,330.64/x
  3. Step 3: Cross multiply
    2,564.47x = 3,845.34 × 1,330.64
  4. Step 4: Simplify right side
    2,564.47x = 5,116,758.41
  5. Step 5: Solve for x
    x = 5,116,758.41/2,564.47
  6. Step 6: Final answer
    x = 1,995.25

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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.