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Finding the Fourth Proportional to 1,858.58, 2,563.14 and 1,361.06

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Solution

The fourth proportional to 1,858.58, 2,563.14 and 1,361.06 is: 1,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.58 : 2,563.14 = 1,361.06 : x
  2. Step 2: Convert to fraction form
    1,858.58/2,563.14 = 1,361.06/x
  3. Step 3: Cross multiply
    1,858.58x = 2,563.14 × 1,361.06
  4. Step 4: Simplify right side
    1,858.58x = 3,488,587.33
  5. Step 5: Solve for x
    x = 3,488,587.33/1,858.58
  6. Step 6: Final answer
    x = 1,877.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.