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Finding the Fourth Proportional to 2,685.46, 3,705.96 and 1,506.60

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Solution

The fourth proportional to 2,685.46, 3,705.96 and 1,506.60 is: 2,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.46 : 3,705.96 = 1,506.60 : x
  2. Step 2: Convert to fraction form
    2,685.46/3,705.96 = 1,506.60/x
  3. Step 3: Cross multiply
    2,685.46x = 3,705.96 × 1,506.60
  4. Step 4: Simplify right side
    2,685.46x = 5,583,399.34
  5. Step 5: Solve for x
    x = 5,583,399.34/2,685.46
  6. Step 6: Final answer
    x = 2,079.12

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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.