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Finding the Fourth Proportional to 1,815.63, 2,506.05 and 1,520.43

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Solution

The fourth proportional to 1,815.63, 2,506.05 and 1,520.43 is: 2,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.63 : 2,506.05 = 1,520.43 : x
  2. Step 2: Convert to fraction form
    1,815.63/2,506.05 = 1,520.43/x
  3. Step 3: Cross multiply
    1,815.63x = 2,506.05 × 1,520.43
  4. Step 4: Simplify right side
    1,815.63x = 3,810,273.60
  5. Step 5: Solve for x
    x = 3,810,273.60/1,815.63
  6. Step 6: Final answer
    x = 2,098.60

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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.