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Finding the Fourth Proportional to 3,051.40, 4,577.06 and 742.90

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Solution

The fourth proportional to 3,051.40, 4,577.06 and 742.90 is: 1,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.40 : 4,577.06 = 742.90 : x
  2. Step 2: Convert to fraction form
    3,051.40/4,577.06 = 742.90/x
  3. Step 3: Cross multiply
    3,051.40x = 4,577.06 × 742.90
  4. Step 4: Simplify right side
    3,051.40x = 3,400,297.87
  5. Step 5: Solve for x
    x = 3,400,297.87/3,051.40
  6. Step 6: Final answer
    x = 1,114.34

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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.