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Finding the Fourth Proportional to 2,106.25, 3,157.96 and 1,010.01

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Solution

The fourth proportional to 2,106.25, 3,157.96 and 1,010.01 is: 1,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.25 : 3,157.96 = 1,010.01 : x
  2. Step 2: Convert to fraction form
    2,106.25/3,157.96 = 1,010.01/x
  3. Step 3: Cross multiply
    2,106.25x = 3,157.96 × 1,010.01
  4. Step 4: Simplify right side
    2,106.25x = 3,189,571.18
  5. Step 5: Solve for x
    x = 3,189,571.18/2,106.25
  6. Step 6: Final answer
    x = 1,514.34

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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.