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Finding the Fourth Proportional to 3,051.75, 4,577.64 and 860.43

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Solution

The fourth proportional to 3,051.75, 4,577.64 and 860.43 is: 1,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.75 : 4,577.64 = 860.43 : x
  2. Step 2: Convert to fraction form
    3,051.75/4,577.64 = 860.43/x
  3. Step 3: Cross multiply
    3,051.75x = 4,577.64 × 860.43
  4. Step 4: Simplify right side
    3,051.75x = 3,938,738.79
  5. Step 5: Solve for x
    x = 3,938,738.79/3,051.75
  6. Step 6: Final answer
    x = 1,290.65

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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.