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Finding the Fourth Proportional to 2,986.71, 4,480.33 and 795.45

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Solution

The fourth proportional to 2,986.71, 4,480.33 and 795.45 is: 1,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.71 : 4,480.33 = 795.45 : x
  2. Step 2: Convert to fraction form
    2,986.71/4,480.33 = 795.45/x
  3. Step 3: Cross multiply
    2,986.71x = 4,480.33 × 795.45
  4. Step 4: Simplify right side
    2,986.71x = 3,563,878.50
  5. Step 5: Solve for x
    x = 3,563,878.50/2,986.71
  6. Step 6: Final answer
    x = 1,193.25

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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.