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Finding the Fourth Proportional to 2,677.32, 3,690.77 and 1,733.00

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Solution

The fourth proportional to 2,677.32, 3,690.77 and 1,733.00 is: 2,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.32 : 3,690.77 = 1,733.00 : x
  2. Step 2: Convert to fraction form
    2,677.32/3,690.77 = 1,733.00/x
  3. Step 3: Cross multiply
    2,677.32x = 3,690.77 × 1,733.00
  4. Step 4: Simplify right side
    2,677.32x = 6,396,077.29
  5. Step 5: Solve for x
    x = 6,396,077.29/2,677.32
  6. Step 6: Final answer
    x = 2,388.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.