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Finding the Fourth Proportional to 2,614.05, 3,607.25 and 1,434.90

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Solution

The fourth proportional to 2,614.05, 3,607.25 and 1,434.90 is: 1,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.05 : 3,607.25 = 1,434.90 : x
  2. Step 2: Convert to fraction form
    2,614.05/3,607.25 = 1,434.90/x
  3. Step 3: Cross multiply
    2,614.05x = 3,607.25 × 1,434.90
  4. Step 4: Simplify right side
    2,614.05x = 5,176,035.85
  5. Step 5: Solve for x
    x = 5,176,035.85/2,614.05
  6. Step 6: Final answer
    x = 1,980.08

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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.