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Finding the Fourth Proportional to 1,575.58, 2,361.38 and 1,380.11

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Solution

The fourth proportional to 1,575.58, 2,361.38 and 1,380.11 is: 2,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.58 : 2,361.38 = 1,380.11 : x
  2. Step 2: Convert to fraction form
    1,575.58/2,361.38 = 1,380.11/x
  3. Step 3: Cross multiply
    1,575.58x = 2,361.38 × 1,380.11
  4. Step 4: Simplify right side
    1,575.58x = 3,258,964.15
  5. Step 5: Solve for x
    x = 3,258,964.15/1,575.58
  6. Step 6: Final answer
    x = 2,068.42

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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.