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Finding the Fourth Proportional to 3,131.70, 4,697.39 and 1,051.55

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Solution

The fourth proportional to 3,131.70, 4,697.39 and 1,051.55 is: 1,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.70 : 4,697.39 = 1,051.55 : x
  2. Step 2: Convert to fraction form
    3,131.70/4,697.39 = 1,051.55/x
  3. Step 3: Cross multiply
    3,131.70x = 4,697.39 × 1,051.55
  4. Step 4: Simplify right side
    3,131.70x = 4,939,519.60
  5. Step 5: Solve for x
    x = 4,939,519.60/3,131.70
  6. Step 6: Final answer
    x = 1,577.26

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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.