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Finding the Fourth Proportional to 2,571.51, 3,856.32 and 990.03

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Solution

The fourth proportional to 2,571.51, 3,856.32 and 990.03 is: 1,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.51 : 3,856.32 = 990.03 : x
  2. Step 2: Convert to fraction form
    2,571.51/3,856.32 = 990.03/x
  3. Step 3: Cross multiply
    2,571.51x = 3,856.32 × 990.03
  4. Step 4: Simplify right side
    2,571.51x = 3,817,872.49
  5. Step 5: Solve for x
    x = 3,817,872.49/2,571.51
  6. Step 6: Final answer
    x = 1,484.68

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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.