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Finding the Fourth Proportional to 3,196.81, 4,802.51 and 2,504.53

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Solution

The fourth proportional to 3,196.81, 4,802.51 and 2,504.53 is: 3,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.81 : 4,802.51 = 2,504.53 : x
  2. Step 2: Convert to fraction form
    3,196.81/4,802.51 = 2,504.53/x
  3. Step 3: Cross multiply
    3,196.81x = 4,802.51 × 2,504.53
  4. Step 4: Simplify right side
    3,196.81x = 12,028,030.37
  5. Step 5: Solve for x
    x = 12,028,030.37/3,196.81
  6. Step 6: Final answer
    x = 3,762.51

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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.