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Finding the Fourth Proportional to 1,432.89, 1,960.47 and 1,427.49

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Solution

The fourth proportional to 1,432.89, 1,960.47 and 1,427.49 is: 1,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.89 : 1,960.47 = 1,427.49 : x
  2. Step 2: Convert to fraction form
    1,432.89/1,960.47 = 1,427.49/x
  3. Step 3: Cross multiply
    1,432.89x = 1,960.47 × 1,427.49
  4. Step 4: Simplify right side
    1,432.89x = 2,798,551.32
  5. Step 5: Solve for x
    x = 2,798,551.32/1,432.89
  6. Step 6: Final answer
    x = 1,953.08

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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.