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Finding the Fourth Proportional to 2,614.42, 3,607.96 and 1,435.42

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Solution

The fourth proportional to 2,614.42, 3,607.96 and 1,435.42 is: 1,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.42 : 3,607.96 = 1,435.42 : x
  2. Step 2: Convert to fraction form
    2,614.42/3,607.96 = 1,435.42/x
  3. Step 3: Cross multiply
    2,614.42x = 3,607.96 × 1,435.42
  4. Step 4: Simplify right side
    2,614.42x = 5,178,937.94
  5. Step 5: Solve for x
    x = 5,178,937.94/2,614.42
  6. Step 6: Final answer
    x = 1,980.91

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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.