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Finding the Fourth Proportional to 2,409.75, 3,614.63 and 678.38

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Solution

The fourth proportional to 2,409.75, 3,614.63 and 678.38 is: 1,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.75 : 3,614.63 = 678.38 : x
  2. Step 2: Convert to fraction form
    2,409.75/3,614.63 = 678.38/x
  3. Step 3: Cross multiply
    2,409.75x = 3,614.63 × 678.38
  4. Step 4: Simplify right side
    2,409.75x = 2,452,071.23
  5. Step 5: Solve for x
    x = 2,452,071.23/2,409.75
  6. Step 6: Final answer
    x = 1,017.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.