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Finding the Fourth Proportional to 1,431.52, 1,960.69 and 1,347.46

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Solution

The fourth proportional to 1,431.52, 1,960.69 and 1,347.46 is: 1,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.52 : 1,960.69 = 1,347.46 : x
  2. Step 2: Convert to fraction form
    1,431.52/1,960.69 = 1,347.46/x
  3. Step 3: Cross multiply
    1,431.52x = 1,960.69 × 1,347.46
  4. Step 4: Simplify right side
    1,431.52x = 2,641,938.18
  5. Step 5: Solve for x
    x = 2,641,938.18/1,431.52
  6. Step 6: Final answer
    x = 1,845.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.