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Finding the Fourth Proportional to 2,369.64, 3,567.27 and 2,131.50

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Solution

The fourth proportional to 2,369.64, 3,567.27 and 2,131.50 is: 3,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.64 : 3,567.27 = 2,131.50 : x
  2. Step 2: Convert to fraction form
    2,369.64/3,567.27 = 2,131.50/x
  3. Step 3: Cross multiply
    2,369.64x = 3,567.27 × 2,131.50
  4. Step 4: Simplify right side
    2,369.64x = 7,603,636.01
  5. Step 5: Solve for x
    x = 7,603,636.01/2,369.64
  6. Step 6: Final answer
    x = 3,208.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.