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Finding the Fourth Proportional to 2,705.27, 3,733.62 and 1,526.34

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Solution

The fourth proportional to 2,705.27, 3,733.62 and 1,526.34 is: 2,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.27 : 3,733.62 = 1,526.34 : x
  2. Step 2: Convert to fraction form
    2,705.27/3,733.62 = 1,526.34/x
  3. Step 3: Cross multiply
    2,705.27x = 3,733.62 × 1,526.34
  4. Step 4: Simplify right side
    2,705.27x = 5,698,786.12
  5. Step 5: Solve for x
    x = 5,698,786.12/2,705.27
  6. Step 6: Final answer
    x = 2,106.55

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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.