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Finding the Fourth Proportional to 2,705.86, 3,733.77 and 1,526.82

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Solution

The fourth proportional to 2,705.86, 3,733.77 and 1,526.82 is: 2,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.86 : 3,733.77 = 1,526.82 : x
  2. Step 2: Convert to fraction form
    2,705.86/3,733.77 = 1,526.82/x
  3. Step 3: Cross multiply
    2,705.86x = 3,733.77 × 1,526.82
  4. Step 4: Simplify right side
    2,705.86x = 5,700,794.71
  5. Step 5: Solve for x
    x = 5,700,794.71/2,705.86
  6. Step 6: Final answer
    x = 2,106.83

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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.