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Finding the Fourth Proportional to 2,768.84, 4,153.50 and 1,014.32

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Solution

The fourth proportional to 2,768.84, 4,153.50 and 1,014.32 is: 1,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.84 : 4,153.50 = 1,014.32 : x
  2. Step 2: Convert to fraction form
    2,768.84/4,153.50 = 1,014.32/x
  3. Step 3: Cross multiply
    2,768.84x = 4,153.50 × 1,014.32
  4. Step 4: Simplify right side
    2,768.84x = 4,212,978.12
  5. Step 5: Solve for x
    x = 4,212,978.12/2,768.84
  6. Step 6: Final answer
    x = 1,521.57

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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.