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Finding the Fourth Proportional to 1,528.70, 2,121.14 and 1,467

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Solution

The fourth proportional to 1,528.70, 2,121.14 and 1,467 is: 2,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.70 : 2,121.14 = 1,467 : x
  2. Step 2: Convert to fraction form
    1,528.70/2,121.14 = 1,467/x
  3. Step 3: Cross multiply
    1,528.70x = 2,121.14 × 1,467
  4. Step 4: Simplify right side
    1,528.70x = 3,111,712.38
  5. Step 5: Solve for x
    x = 3,111,712.38/1,528.70
  6. Step 6: Final answer
    x = 2,035.53

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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.