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Finding the Fourth Proportional to 3,051.57, 4,577.33 and 860.29

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Solution

The fourth proportional to 3,051.57, 4,577.33 and 860.29 is: 1,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.57 : 4,577.33 = 860.29 : x
  2. Step 2: Convert to fraction form
    3,051.57/4,577.33 = 860.29/x
  3. Step 3: Cross multiply
    3,051.57x = 4,577.33 × 860.29
  4. Step 4: Simplify right side
    3,051.57x = 3,937,804.04
  5. Step 5: Solve for x
    x = 3,937,804.04/3,051.57
  6. Step 6: Final answer
    x = 1,290.42

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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.