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Finding the Fourth Proportional to 1,419.65, 1,958.54 and 895.38

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Solution

The fourth proportional to 1,419.65, 1,958.54 and 895.38 is: 1,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.65 : 1,958.54 = 895.38 : x
  2. Step 2: Convert to fraction form
    1,419.65/1,958.54 = 895.38/x
  3. Step 3: Cross multiply
    1,419.65x = 1,958.54 × 895.38
  4. Step 4: Simplify right side
    1,419.65x = 1,753,627.75
  5. Step 5: Solve for x
    x = 1,753,627.75/1,419.65
  6. Step 6: Final answer
    x = 1,235.25

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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.