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Finding the Fourth Proportional to 1,671.96, 2,507.40 and 1,442.46

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Solution

The fourth proportional to 1,671.96, 2,507.40 and 1,442.46 is: 2,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.96 : 2,507.40 = 1,442.46 : x
  2. Step 2: Convert to fraction form
    1,671.96/2,507.40 = 1,442.46/x
  3. Step 3: Cross multiply
    1,671.96x = 2,507.40 × 1,442.46
  4. Step 4: Simplify right side
    1,671.96x = 3,616,824.20
  5. Step 5: Solve for x
    x = 3,616,824.20/1,671.96
  6. Step 6: Final answer
    x = 2,163.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.