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Finding the Fourth Proportional to 2,101.01, 2,899.62 and 1,157.00

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Solution

The fourth proportional to 2,101.01, 2,899.62 and 1,157.00 is: 1,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.01 : 2,899.62 = 1,157.00 : x
  2. Step 2: Convert to fraction form
    2,101.01/2,899.62 = 1,157.00/x
  3. Step 3: Cross multiply
    2,101.01x = 2,899.62 × 1,157.00
  4. Step 4: Simplify right side
    2,101.01x = 3,354,845.84
  5. Step 5: Solve for x
    x = 3,354,845.84/2,101.01
  6. Step 6: Final answer
    x = 1,596.78

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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.