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Finding the Fourth Proportional to 3,130.06, 4,691.24 and 1,976.14

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Solution

The fourth proportional to 3,130.06, 4,691.24 and 1,976.14 is: 2,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.06 : 4,691.24 = 1,976.14 : x
  2. Step 2: Convert to fraction form
    3,130.06/4,691.24 = 1,976.14/x
  3. Step 3: Cross multiply
    3,130.06x = 4,691.24 × 1,976.14
  4. Step 4: Simplify right side
    3,130.06x = 9,270,547.01
  5. Step 5: Solve for x
    x = 9,270,547.01/3,130.06
  6. Step 6: Final answer
    x = 2,961.78

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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.