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Finding the Fourth Proportional to 1,703.67, 2,533.51 and 1,685.45

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Solution

The fourth proportional to 1,703.67, 2,533.51 and 1,685.45 is: 2,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.67 : 2,533.51 = 1,685.45 : x
  2. Step 2: Convert to fraction form
    1,703.67/2,533.51 = 1,685.45/x
  3. Step 3: Cross multiply
    1,703.67x = 2,533.51 × 1,685.45
  4. Step 4: Simplify right side
    1,703.67x = 4,270,104.43
  5. Step 5: Solve for x
    x = 4,270,104.43/1,703.67
  6. Step 6: Final answer
    x = 2,506.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.