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Finding the Fourth Proportional to 2,407.06, 3,321.75 and 1,412.20

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Solution

The fourth proportional to 2,407.06, 3,321.75 and 1,412.20 is: 1,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.06 : 3,321.75 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    2,407.06/3,321.75 = 1,412.20/x
  3. Step 3: Cross multiply
    2,407.06x = 3,321.75 × 1,412.20
  4. Step 4: Simplify right side
    2,407.06x = 4,690,975.35
  5. Step 5: Solve for x
    x = 4,690,975.35/2,407.06
  6. Step 6: Final answer
    x = 1,948.84

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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.