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Finding the Fourth Proportional to 2,047.55, 3,071.93 and 814.25

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Solution

The fourth proportional to 2,047.55, 3,071.93 and 814.25 is: 1,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.55 : 3,071.93 = 814.25 : x
  2. Step 2: Convert to fraction form
    2,047.55/3,071.93 = 814.25/x
  3. Step 3: Cross multiply
    2,047.55x = 3,071.93 × 814.25
  4. Step 4: Simplify right side
    2,047.55x = 2,501,322.61
  5. Step 5: Solve for x
    x = 2,501,322.61/2,047.55
  6. Step 6: Final answer
    x = 1,221.62

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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.