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Finding the Fourth Proportional to 1,480.88, 2,052.26 and 1,460

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Solution

The fourth proportional to 1,480.88, 2,052.26 and 1,460 is: 2,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.88 : 2,052.26 = 1,460 : x
  2. Step 2: Convert to fraction form
    1,480.88/2,052.26 = 1,460/x
  3. Step 3: Cross multiply
    1,480.88x = 2,052.26 × 1,460
  4. Step 4: Simplify right side
    1,480.88x = 2,996,299.60
  5. Step 5: Solve for x
    x = 2,996,299.60/1,480.88
  6. Step 6: Final answer
    x = 2,023.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.