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Finding the Fourth Proportional to 2,684.95, 3,705.60 and 1,506.09

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Solution

The fourth proportional to 2,684.95, 3,705.60 and 1,506.09 is: 2,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.95 : 3,705.60 = 1,506.09 : x
  2. Step 2: Convert to fraction form
    2,684.95/3,705.60 = 1,506.09/x
  3. Step 3: Cross multiply
    2,684.95x = 3,705.60 × 1,506.09
  4. Step 4: Simplify right side
    2,684.95x = 5,580,978.18
  5. Step 5: Solve for x
    x = 5,580,978.18/2,684.95
  6. Step 6: Final answer
    x = 2,078.62

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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.