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Finding the Fourth Proportional to 2,705.37, 3,732.45 and 1,526.46

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Solution

The fourth proportional to 2,705.37, 3,732.45 and 1,526.46 is: 2,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.37 : 3,732.45 = 1,526.46 : x
  2. Step 2: Convert to fraction form
    2,705.37/3,732.45 = 1,526.46/x
  3. Step 3: Cross multiply
    2,705.37x = 3,732.45 × 1,526.46
  4. Step 4: Simplify right side
    2,705.37x = 5,697,435.63
  5. Step 5: Solve for x
    x = 5,697,435.63/2,705.37
  6. Step 6: Final answer
    x = 2,105.97

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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.