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Finding the Fourth Proportional to 1,954.94, 2,928.49 and 1,514.67

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Solution

The fourth proportional to 1,954.94, 2,928.49 and 1,514.67 is: 2,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.94 : 2,928.49 = 1,514.67 : x
  2. Step 2: Convert to fraction form
    1,954.94/2,928.49 = 1,514.67/x
  3. Step 3: Cross multiply
    1,954.94x = 2,928.49 × 1,514.67
  4. Step 4: Simplify right side
    1,954.94x = 4,435,681.18
  5. Step 5: Solve for x
    x = 4,435,681.18/1,954.94
  6. Step 6: Final answer
    x = 2,268.97

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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.