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Finding the Fourth Proportional to 1,351.46, 1,865.64 and 1,020.02

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Solution

The fourth proportional to 1,351.46, 1,865.64 and 1,020.02 is: 1,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.46 : 1,865.64 = 1,020.02 : x
  2. Step 2: Convert to fraction form
    1,351.46/1,865.64 = 1,020.02/x
  3. Step 3: Cross multiply
    1,351.46x = 1,865.64 × 1,020.02
  4. Step 4: Simplify right side
    1,351.46x = 1,902,990.11
  5. Step 5: Solve for x
    x = 1,902,990.11/1,351.46
  6. Step 6: Final answer
    x = 1,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.