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Finding the Fourth Proportional to 1,423.89, 1,964.39 and 864.09

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Solution

The fourth proportional to 1,423.89, 1,964.39 and 864.09 is: 1,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.89 : 1,964.39 = 864.09 : x
  2. Step 2: Convert to fraction form
    1,423.89/1,964.39 = 864.09/x
  3. Step 3: Cross multiply
    1,423.89x = 1,964.39 × 864.09
  4. Step 4: Simplify right side
    1,423.89x = 1,697,405.43
  5. Step 5: Solve for x
    x = 1,697,405.43/1,423.89
  6. Step 6: Final answer
    x = 1,192.09

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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.