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Finding the Fourth Proportional to 4,786.95, 7,180.77 and 1,276.93

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Solution

The fourth proportional to 4,786.95, 7,180.77 and 1,276.93 is: 1,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.95 : 7,180.77 = 1,276.93 : x
  2. Step 2: Convert to fraction form
    4,786.95/7,180.77 = 1,276.93/x
  3. Step 3: Cross multiply
    4,786.95x = 7,180.77 × 1,276.93
  4. Step 4: Simplify right side
    4,786.95x = 9,169,347.22
  5. Step 5: Solve for x
    x = 9,169,347.22/4,786.95
  6. Step 6: Final answer
    x = 1,915.49

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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.