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Finding the Fourth Proportional to 2,705.57, 3,733.62 and 1,526.63

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Solution

The fourth proportional to 2,705.57, 3,733.62 and 1,526.63 is: 2,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.57 : 3,733.62 = 1,526.63 : x
  2. Step 2: Convert to fraction form
    2,705.57/3,733.62 = 1,526.63/x
  3. Step 3: Cross multiply
    2,705.57x = 3,733.62 × 1,526.63
  4. Step 4: Simplify right side
    2,705.57x = 5,699,856.30
  5. Step 5: Solve for x
    x = 5,699,856.30/2,705.57
  6. Step 6: Final answer
    x = 2,106.71

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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.