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Finding the Fourth Proportional to 1,546.21, 2,308.07 and 1,432

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Solution

The fourth proportional to 1,546.21, 2,308.07 and 1,432 is: 2,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.21 : 2,308.07 = 1,432 : x
  2. Step 2: Convert to fraction form
    1,546.21/2,308.07 = 1,432/x
  3. Step 3: Cross multiply
    1,546.21x = 2,308.07 × 1,432
  4. Step 4: Simplify right side
    1,546.21x = 3,305,156.24
  5. Step 5: Solve for x
    x = 3,305,156.24/1,546.21
  6. Step 6: Final answer
    x = 2,137.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.