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Finding the Fourth Proportional to 2,453.34, 3,670.83 and 1,462.53

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Solution

The fourth proportional to 2,453.34, 3,670.83 and 1,462.53 is: 2,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.34 : 3,670.83 = 1,462.53 : x
  2. Step 2: Convert to fraction form
    2,453.34/3,670.83 = 1,462.53/x
  3. Step 3: Cross multiply
    2,453.34x = 3,670.83 × 1,462.53
  4. Step 4: Simplify right side
    2,453.34x = 5,368,699.00
  5. Step 5: Solve for x
    x = 5,368,699.00/2,453.34
  6. Step 6: Final answer
    x = 2,188.32

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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.