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Finding the Fourth Proportional to 1,462.25, 2,019.54 and 1,134.65

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Solution

The fourth proportional to 1,462.25, 2,019.54 and 1,134.65 is: 1,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.25 : 2,019.54 = 1,134.65 : x
  2. Step 2: Convert to fraction form
    1,462.25/2,019.54 = 1,134.65/x
  3. Step 3: Cross multiply
    1,462.25x = 2,019.54 × 1,134.65
  4. Step 4: Simplify right side
    1,462.25x = 2,291,471.06
  5. Step 5: Solve for x
    x = 2,291,471.06/1,462.25
  6. Step 6: Final answer
    x = 1,567.09

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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.