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Finding the Fourth Proportional to 1,351.72, 1,868.07 and 1,020.01

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Solution

The fourth proportional to 1,351.72, 1,868.07 and 1,020.01 is: 1,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.72 : 1,868.07 = 1,020.01 : x
  2. Step 2: Convert to fraction form
    1,351.72/1,868.07 = 1,020.01/x
  3. Step 3: Cross multiply
    1,351.72x = 1,868.07 × 1,020.01
  4. Step 4: Simplify right side
    1,351.72x = 1,905,450.08
  5. Step 5: Solve for x
    x = 1,905,450.08/1,351.72
  6. Step 6: Final answer
    x = 1,409.65

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