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Finding the Fourth Proportional to 2,100.98, 3,150.97 and 930.34

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Solution

The fourth proportional to 2,100.98, 3,150.97 and 930.34 is: 1,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.98 : 3,150.97 = 930.34 : x
  2. Step 2: Convert to fraction form
    2,100.98/3,150.97 = 930.34/x
  3. Step 3: Cross multiply
    2,100.98x = 3,150.97 × 930.34
  4. Step 4: Simplify right side
    2,100.98x = 2,931,463.23
  5. Step 5: Solve for x
    x = 2,931,463.23/2,100.98
  6. Step 6: Final answer
    x = 1,395.28

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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.