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Finding the Fourth Proportional to 1,515.48, 2,277 and 967.92

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Solution

The fourth proportional to 1,515.48, 2,277 and 967.92 is: 1,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.48 : 2,277 = 967.92 : x
  2. Step 2: Convert to fraction form
    1,515.48/2,277 = 967.92/x
  3. Step 3: Cross multiply
    1,515.48x = 2,277 × 967.92
  4. Step 4: Simplify right side
    1,515.48x = 2,203,953.84
  5. Step 5: Solve for x
    x = 2,203,953.84/1,515.48
  6. Step 6: Final answer
    x = 1,454.29

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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.