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Finding the Fourth Proportional to 2,407.86, 3,330.72 and 2,014.20

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Solution

The fourth proportional to 2,407.86, 3,330.72 and 2,014.20 is: 2,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.86 : 3,330.72 = 2,014.20 : x
  2. Step 2: Convert to fraction form
    2,407.86/3,330.72 = 2,014.20/x
  3. Step 3: Cross multiply
    2,407.86x = 3,330.72 × 2,014.20
  4. Step 4: Simplify right side
    2,407.86x = 6,708,736.22
  5. Step 5: Solve for x
    x = 6,708,736.22/2,407.86
  6. Step 6: Final answer
    x = 2,786.18

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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.