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Finding the Fourth Proportional to 2,101.42, 2,899.90 and 1,157.22

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Solution

The fourth proportional to 2,101.42, 2,899.90 and 1,157.22 is: 1,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.42 : 2,899.90 = 1,157.22 : x
  2. Step 2: Convert to fraction form
    2,101.42/2,899.90 = 1,157.22/x
  3. Step 3: Cross multiply
    2,101.42x = 2,899.90 × 1,157.22
  4. Step 4: Simplify right side
    2,101.42x = 3,355,822.28
  5. Step 5: Solve for x
    x = 3,355,822.28/2,101.42
  6. Step 6: Final answer
    x = 1,596.93

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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.