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Finding the Fourth Proportional to 3,051.42, 4,577.16 and 860.10

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Solution

The fourth proportional to 3,051.42, 4,577.16 and 860.10 is: 1,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.42 : 4,577.16 = 860.10 : x
  2. Step 2: Convert to fraction form
    3,051.42/4,577.16 = 860.10/x
  3. Step 3: Cross multiply
    3,051.42x = 4,577.16 × 860.10
  4. Step 4: Simplify right side
    3,051.42x = 3,936,815.32
  5. Step 5: Solve for x
    x = 3,936,815.32/3,051.42
  6. Step 6: Final answer
    x = 1,290.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.