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Finding the Fourth Proportional to 3,162.53, 4,744.40 and 1,214.58

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Solution

The fourth proportional to 3,162.53, 4,744.40 and 1,214.58 is: 1,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.53 : 4,744.40 = 1,214.58 : x
  2. Step 2: Convert to fraction form
    3,162.53/4,744.40 = 1,214.58/x
  3. Step 3: Cross multiply
    3,162.53x = 4,744.40 × 1,214.58
  4. Step 4: Simplify right side
    3,162.53x = 5,762,465.07
  5. Step 5: Solve for x
    x = 5,762,465.07/3,162.53
  6. Step 6: Final answer
    x = 1,822.10

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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.