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Finding the Fourth Proportional to 2,564.65, 3,848.88 and 1,104.82

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Solution

The fourth proportional to 2,564.65, 3,848.88 and 1,104.82 is: 1,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.65 : 3,848.88 = 1,104.82 : x
  2. Step 2: Convert to fraction form
    2,564.65/3,848.88 = 1,104.82/x
  3. Step 3: Cross multiply
    2,564.65x = 3,848.88 × 1,104.82
  4. Step 4: Simplify right side
    2,564.65x = 4,252,319.60
  5. Step 5: Solve for x
    x = 4,252,319.60/2,564.65
  6. Step 6: Final answer
    x = 1,658.05

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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.