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Finding the Fourth Proportional to 2,685.98, 3,706.64 and 1,507.05

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Solution

The fourth proportional to 2,685.98, 3,706.64 and 1,507.05 is: 2,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.98 : 3,706.64 = 1,507.05 : x
  2. Step 2: Convert to fraction form
    2,685.98/3,706.64 = 1,507.05/x
  3. Step 3: Cross multiply
    2,685.98x = 3,706.64 × 1,507.05
  4. Step 4: Simplify right side
    2,685.98x = 5,586,091.81
  5. Step 5: Solve for x
    x = 5,586,091.81/2,685.98
  6. Step 6: Final answer
    x = 2,079.72

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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.