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Finding the Fourth Proportional to 2,874.58, 3,968.54 and 1,880.88

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Solution

The fourth proportional to 2,874.58, 3,968.54 and 1,880.88 is: 2,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.58 : 3,968.54 = 1,880.88 : x
  2. Step 2: Convert to fraction form
    2,874.58/3,968.54 = 1,880.88/x
  3. Step 3: Cross multiply
    2,874.58x = 3,968.54 × 1,880.88
  4. Step 4: Simplify right side
    2,874.58x = 7,464,347.52
  5. Step 5: Solve for x
    x = 7,464,347.52/2,874.58
  6. Step 6: Final answer
    x = 2,596.67

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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.