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Finding the Fourth Proportional to 2,351.09, 3,527.84 and 1,035.76

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Solution

The fourth proportional to 2,351.09, 3,527.84 and 1,035.76 is: 1,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.09 : 3,527.84 = 1,035.76 : x
  2. Step 2: Convert to fraction form
    2,351.09/3,527.84 = 1,035.76/x
  3. Step 3: Cross multiply
    2,351.09x = 3,527.84 × 1,035.76
  4. Step 4: Simplify right side
    2,351.09x = 3,653,995.56
  5. Step 5: Solve for x
    x = 3,653,995.56/2,351.09
  6. Step 6: Final answer
    x = 1,554.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.