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Finding the Fourth Proportional to 2,874.14, 3,966.02 and 1,615.10

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Solution

The fourth proportional to 2,874.14, 3,966.02 and 1,615.10 is: 2,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.14 : 3,966.02 = 1,615.10 : x
  2. Step 2: Convert to fraction form
    2,874.14/3,966.02 = 1,615.10/x
  3. Step 3: Cross multiply
    2,874.14x = 3,966.02 × 1,615.10
  4. Step 4: Simplify right side
    2,874.14x = 6,405,518.90
  5. Step 5: Solve for x
    x = 6,405,518.90/2,874.14
  6. Step 6: Final answer
    x = 2,228.67

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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.