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Finding the Fourth Proportional to 2,062, 2,846.87 and 1,432.32

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Solution

The fourth proportional to 2,062, 2,846.87 and 1,432.32 is: 1,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062 : 2,846.87 = 1,432.32 : x
  2. Step 2: Convert to fraction form
    2,062/2,846.87 = 1,432.32/x
  3. Step 3: Cross multiply
    2,062x = 2,846.87 × 1,432.32
  4. Step 4: Simplify right side
    2,062x = 4,077,628.84
  5. Step 5: Solve for x
    x = 4,077,628.84/2,062
  6. Step 6: Final answer
    x = 1,977.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.