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Finding the Fourth Proportional to 2,531.58, 3,794.13 and 1,419.45

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Solution

The fourth proportional to 2,531.58, 3,794.13 and 1,419.45 is: 2,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.58 : 3,794.13 = 1,419.45 : x
  2. Step 2: Convert to fraction form
    2,531.58/3,794.13 = 1,419.45/x
  3. Step 3: Cross multiply
    2,531.58x = 3,794.13 × 1,419.45
  4. Step 4: Simplify right side
    2,531.58x = 5,385,577.83
  5. Step 5: Solve for x
    x = 5,385,577.83/2,531.58
  6. Step 6: Final answer
    x = 2,127.36

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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.