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Finding the Fourth Proportional to 3,012.66, 4,157.01 and 1,686.20

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Solution

The fourth proportional to 3,012.66, 4,157.01 and 1,686.20 is: 2,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.66 : 4,157.01 = 1,686.20 : x
  2. Step 2: Convert to fraction form
    3,012.66/4,157.01 = 1,686.20/x
  3. Step 3: Cross multiply
    3,012.66x = 4,157.01 × 1,686.20
  4. Step 4: Simplify right side
    3,012.66x = 7,009,529.48
  5. Step 5: Solve for x
    x = 7,009,529.48/3,012.66
  6. Step 6: Final answer
    x = 2,326.69

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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.