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Finding the Fourth Proportional to 2,301.23, 3,451.40 and 895.64

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Solution

The fourth proportional to 2,301.23, 3,451.40 and 895.64 is: 1,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.23 : 3,451.40 = 895.64 : x
  2. Step 2: Convert to fraction form
    2,301.23/3,451.40 = 895.64/x
  3. Step 3: Cross multiply
    2,301.23x = 3,451.40 × 895.64
  4. Step 4: Simplify right side
    2,301.23x = 3,091,207.42
  5. Step 5: Solve for x
    x = 3,091,207.42/2,301.23
  6. Step 6: Final answer
    x = 1,343.29

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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.