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Finding the Fourth Proportional to 2,100.51, 3,151.41 and 868.00

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Solution

The fourth proportional to 2,100.51, 3,151.41 and 868.00 is: 1,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.51 : 3,151.41 = 868.00 : x
  2. Step 2: Convert to fraction form
    2,100.51/3,151.41 = 868.00/x
  3. Step 3: Cross multiply
    2,100.51x = 3,151.41 × 868.00
  4. Step 4: Simplify right side
    2,100.51x = 2,735,431.95
  5. Step 5: Solve for x
    x = 2,735,431.95/2,100.51
  6. Step 6: Final answer
    x = 1,302.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.