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Finding the Fourth Proportional to 2,355.89, 3,533.48 and 1,315.25

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Solution

The fourth proportional to 2,355.89, 3,533.48 and 1,315.25 is: 1,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.89 : 3,533.48 = 1,315.25 : x
  2. Step 2: Convert to fraction form
    2,355.89/3,533.48 = 1,315.25/x
  3. Step 3: Cross multiply
    2,355.89x = 3,533.48 × 1,315.25
  4. Step 4: Simplify right side
    2,355.89x = 4,647,385.33
  5. Step 5: Solve for x
    x = 4,647,385.33/2,355.89
  6. Step 6: Final answer
    x = 1,972.67

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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.