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Finding the Fourth Proportional to 3,051.56, 4,577.64 and 860.31

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Solution

The fourth proportional to 3,051.56, 4,577.64 and 860.31 is: 1,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.56 : 4,577.64 = 860.31 : x
  2. Step 2: Convert to fraction form
    3,051.56/4,577.64 = 860.31/x
  3. Step 3: Cross multiply
    3,051.56x = 4,577.64 × 860.31
  4. Step 4: Simplify right side
    3,051.56x = 3,938,189.47
  5. Step 5: Solve for x
    x = 3,938,189.47/3,051.56
  6. Step 6: Final answer
    x = 1,290.55

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1.5x scale

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.