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Finding the Fourth Proportional to 2,564.35, 3,848.38 and 1,103.92

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Solution

The fourth proportional to 2,564.35, 3,848.38 and 1,103.92 is: 1,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.35 : 3,848.38 = 1,103.92 : x
  2. Step 2: Convert to fraction form
    2,564.35/3,848.38 = 1,103.92/x
  3. Step 3: Cross multiply
    2,564.35x = 3,848.38 × 1,103.92
  4. Step 4: Simplify right side
    2,564.35x = 4,248,291.27
  5. Step 5: Solve for x
    x = 4,248,291.27/2,564.35
  6. Step 6: Final answer
    x = 1,656.68

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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.