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Finding the Fourth Proportional to 2,101.01, 3,146.72 and 1,006.15

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Solution

The fourth proportional to 2,101.01, 3,146.72 and 1,006.15 is: 1,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.01 : 3,146.72 = 1,006.15 : x
  2. Step 2: Convert to fraction form
    2,101.01/3,146.72 = 1,006.15/x
  3. Step 3: Cross multiply
    2,101.01x = 3,146.72 × 1,006.15
  4. Step 4: Simplify right side
    2,101.01x = 3,166,072.33
  5. Step 5: Solve for x
    x = 3,166,072.33/2,101.01
  6. Step 6: Final answer
    x = 1,506.93

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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.