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Finding the Fourth Proportional to 2,614.40, 3,607.71 and 1,435.22

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Solution

The fourth proportional to 2,614.40, 3,607.71 and 1,435.22 is: 1,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.40 : 3,607.71 = 1,435.22 : x
  2. Step 2: Convert to fraction form
    2,614.40/3,607.71 = 1,435.22/x
  3. Step 3: Cross multiply
    2,614.40x = 3,607.71 × 1,435.22
  4. Step 4: Simplify right side
    2,614.40x = 5,177,857.55
  5. Step 5: Solve for x
    x = 5,177,857.55/2,614.40
  6. Step 6: Final answer
    x = 1,980.51

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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.