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Finding the Fourth Proportional to 2,468.09, 3,702.86 and 1,167.77

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Solution

The fourth proportional to 2,468.09, 3,702.86 and 1,167.77 is: 1,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.09 : 3,702.86 = 1,167.77 : x
  2. Step 2: Convert to fraction form
    2,468.09/3,702.86 = 1,167.77/x
  3. Step 3: Cross multiply
    2,468.09x = 3,702.86 × 1,167.77
  4. Step 4: Simplify right side
    2,468.09x = 4,324,088.82
  5. Step 5: Solve for x
    x = 4,324,088.82/2,468.09
  6. Step 6: Final answer
    x = 1,752.00

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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.