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Finding the Fourth Proportional to 3,013.09, 4,158.09 and 1,686.86

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Solution

The fourth proportional to 3,013.09, 4,158.09 and 1,686.86 is: 2,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.09 : 4,158.09 = 1,686.86 : x
  2. Step 2: Convert to fraction form
    3,013.09/4,158.09 = 1,686.86/x
  3. Step 3: Cross multiply
    3,013.09x = 4,158.09 × 1,686.86
  4. Step 4: Simplify right side
    3,013.09x = 7,014,110.50
  5. Step 5: Solve for x
    x = 7,014,110.50/3,013.09
  6. Step 6: Final answer
    x = 2,327.88

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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.