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Finding the Fourth Proportional to 2,564, 3,848.16 and 1,025

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Solution

The fourth proportional to 2,564, 3,848.16 and 1,025 is: 1,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564 : 3,848.16 = 1,025 : x
  2. Step 2: Convert to fraction form
    2,564/3,848.16 = 1,025/x
  3. Step 3: Cross multiply
    2,564x = 3,848.16 × 1,025
  4. Step 4: Simplify right side
    2,564x = 3,944,364
  5. Step 5: Solve for x
    x = 3,944,364/2,564
  6. Step 6: Final answer
    x = 1,538.36

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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.