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Finding the Fourth Proportional to 1,468.07, 2,201.63 and 1,371

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Solution

The fourth proportional to 1,468.07, 2,201.63 and 1,371 is: 2,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.07 : 2,201.63 = 1,371 : x
  2. Step 2: Convert to fraction form
    1,468.07/2,201.63 = 1,371/x
  3. Step 3: Cross multiply
    1,468.07x = 2,201.63 × 1,371
  4. Step 4: Simplify right side
    1,468.07x = 3,018,427.88
  5. Step 5: Solve for x
    x = 3,018,427.88/1,468.07
  6. Step 6: Final answer
    x = 2,056.06

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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.