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Finding the Fourth Proportional to 1,685.05, 2,541.05 and 1,661.96

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Solution

The fourth proportional to 1,685.05, 2,541.05 and 1,661.96 is: 2,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.05 : 2,541.05 = 1,661.96 : x
  2. Step 2: Convert to fraction form
    1,685.05/2,541.05 = 1,661.96/x
  3. Step 3: Cross multiply
    1,685.05x = 2,541.05 × 1,661.96
  4. Step 4: Simplify right side
    1,685.05x = 4,223,123.46
  5. Step 5: Solve for x
    x = 4,223,123.46/1,685.05
  6. Step 6: Final answer
    x = 2,506.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.