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Finding the Fourth Proportional to 1,464.07, 2,019.10 and 967.22

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Solution

The fourth proportional to 1,464.07, 2,019.10 and 967.22 is: 1,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.07 : 2,019.10 = 967.22 : x
  2. Step 2: Convert to fraction form
    1,464.07/2,019.10 = 967.22/x
  3. Step 3: Cross multiply
    1,464.07x = 2,019.10 × 967.22
  4. Step 4: Simplify right side
    1,464.07x = 1,952,898.97
  5. Step 5: Solve for x
    x = 1,952,898.97/1,464.07
  6. Step 6: Final answer
    x = 1,333.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.