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Finding the Fourth Proportional to 2,012.08, 3,017.96 and 713.38

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Solution

The fourth proportional to 2,012.08, 3,017.96 and 713.38 is: 1,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.08 : 3,017.96 = 713.38 : x
  2. Step 2: Convert to fraction form
    2,012.08/3,017.96 = 713.38/x
  3. Step 3: Cross multiply
    2,012.08x = 3,017.96 × 713.38
  4. Step 4: Simplify right side
    2,012.08x = 2,152,952.30
  5. Step 5: Solve for x
    x = 2,152,952.30/2,012.08
  6. Step 6: Final answer
    x = 1,070.01

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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.