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Finding the Fourth Proportional to 3,113.12, 4,669.60 and 804.56

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Solution

The fourth proportional to 3,113.12, 4,669.60 and 804.56 is: 1,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.12 : 4,669.60 = 804.56 : x
  2. Step 2: Convert to fraction form
    3,113.12/4,669.60 = 804.56/x
  3. Step 3: Cross multiply
    3,113.12x = 4,669.60 × 804.56
  4. Step 4: Simplify right side
    3,113.12x = 3,756,973.38
  5. Step 5: Solve for x
    x = 3,756,973.38/3,113.12
  6. Step 6: Final answer
    x = 1,206.82

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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.