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Finding the Fourth Proportional to 2,157.06, 2,976.30 and 1,412.12

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Solution

The fourth proportional to 2,157.06, 2,976.30 and 1,412.12 is: 1,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.06 : 2,976.30 = 1,412.12 : x
  2. Step 2: Convert to fraction form
    2,157.06/2,976.30 = 1,412.12/x
  3. Step 3: Cross multiply
    2,157.06x = 2,976.30 × 1,412.12
  4. Step 4: Simplify right side
    2,157.06x = 4,202,892.76
  5. Step 5: Solve for x
    x = 4,202,892.76/2,157.06
  6. Step 6: Final answer
    x = 1,948.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.