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Finding the Fourth Proportional to 3,047.14, 4,570.64 and 1,196.92

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Solution

The fourth proportional to 3,047.14, 4,570.64 and 1,196.92 is: 1,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.14 : 4,570.64 = 1,196.92 : x
  2. Step 2: Convert to fraction form
    3,047.14/4,570.64 = 1,196.92/x
  3. Step 3: Cross multiply
    3,047.14x = 4,570.64 × 1,196.92
  4. Step 4: Simplify right side
    3,047.14x = 5,470,690.43
  5. Step 5: Solve for x
    x = 5,470,690.43/3,047.14
  6. Step 6: Final answer
    x = 1,795.35

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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.