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Finding the Fourth Proportional to 3,131.71, 4,697.04 and 1,051.48

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Solution

The fourth proportional to 3,131.71, 4,697.04 and 1,051.48 is: 1,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.71 : 4,697.04 = 1,051.48 : x
  2. Step 2: Convert to fraction form
    3,131.71/4,697.04 = 1,051.48/x
  3. Step 3: Cross multiply
    3,131.71x = 4,697.04 × 1,051.48
  4. Step 4: Simplify right side
    3,131.71x = 4,938,843.62
  5. Step 5: Solve for x
    x = 4,938,843.62/3,131.71
  6. Step 6: Final answer
    x = 1,577.04

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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.