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Finding the Fourth Proportional to 2,605.83, 3,910.27 and 1,567.82

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Solution

The fourth proportional to 2,605.83, 3,910.27 and 1,567.82 is: 2,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.83 : 3,910.27 = 1,567.82 : x
  2. Step 2: Convert to fraction form
    2,605.83/3,910.27 = 1,567.82/x
  3. Step 3: Cross multiply
    2,605.83x = 3,910.27 × 1,567.82
  4. Step 4: Simplify right side
    2,605.83x = 6,130,599.51
  5. Step 5: Solve for x
    x = 6,130,599.51/2,605.83
  6. Step 6: Final answer
    x = 2,352.65

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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.