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Finding the Fourth Proportional to 2,278.42, 3,416.67 and 718.01

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Solution

The fourth proportional to 2,278.42, 3,416.67 and 718.01 is: 1,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.42 : 3,416.67 = 718.01 : x
  2. Step 2: Convert to fraction form
    2,278.42/3,416.67 = 718.01/x
  3. Step 3: Cross multiply
    2,278.42x = 3,416.67 × 718.01
  4. Step 4: Simplify right side
    2,278.42x = 2,453,186.14
  5. Step 5: Solve for x
    x = 2,453,186.14/2,278.42
  6. Step 6: Final answer
    x = 1,076.71

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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.