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Finding the Fourth Proportional to 1,686, 2,534.76 and 1,549.44

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Solution

The fourth proportional to 1,686, 2,534.76 and 1,549.44 is: 2,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686 : 2,534.76 = 1,549.44 : x
  2. Step 2: Convert to fraction form
    1,686/2,534.76 = 1,549.44/x
  3. Step 3: Cross multiply
    1,686x = 2,534.76 × 1,549.44
  4. Step 4: Simplify right side
    1,686x = 3,927,458.53
  5. Step 5: Solve for x
    x = 3,927,458.53/1,686
  6. Step 6: Final answer
    x = 2,329.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.