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Finding the Fourth Proportional to 2,359.89, 3,258.84 and 1,522.56

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Solution

The fourth proportional to 2,359.89, 3,258.84 and 1,522.56 is: 2,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.89 : 3,258.84 = 1,522.56 : x
  2. Step 2: Convert to fraction form
    2,359.89/3,258.84 = 1,522.56/x
  3. Step 3: Cross multiply
    2,359.89x = 3,258.84 × 1,522.56
  4. Step 4: Simplify right side
    2,359.89x = 4,961,779.43
  5. Step 5: Solve for x
    x = 4,961,779.43/2,359.89
  6. Step 6: Final answer
    x = 2,102.55

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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.