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Finding the Fourth Proportional to 2,810.02, 3,877.05 and 1,815.34

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Solution

The fourth proportional to 2,810.02, 3,877.05 and 1,815.34 is: 2,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.02 : 3,877.05 = 1,815.34 : x
  2. Step 2: Convert to fraction form
    2,810.02/3,877.05 = 1,815.34/x
  3. Step 3: Cross multiply
    2,810.02x = 3,877.05 × 1,815.34
  4. Step 4: Simplify right side
    2,810.02x = 7,038,163.95
  5. Step 5: Solve for x
    x = 7,038,163.95/2,810.02
  6. Step 6: Final answer
    x = 2,504.67

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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.