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Finding the Fourth Proportional to 1,434.68, 1,975.94 and 1,325.33

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Solution

The fourth proportional to 1,434.68, 1,975.94 and 1,325.33 is: 1,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.68 : 1,975.94 = 1,325.33 : x
  2. Step 2: Convert to fraction form
    1,434.68/1,975.94 = 1,325.33/x
  3. Step 3: Cross multiply
    1,434.68x = 1,975.94 × 1,325.33
  4. Step 4: Simplify right side
    1,434.68x = 2,618,775.89
  5. Step 5: Solve for x
    x = 2,618,775.89/1,434.68
  6. Step 6: Final answer
    x = 1,825.34

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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.