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Finding the Fourth Proportional to 3,013.01, 4,157.48 and 1,686.77

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Solution

The fourth proportional to 3,013.01, 4,157.48 and 1,686.77 is: 2,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.01 : 4,157.48 = 1,686.77 : x
  2. Step 2: Convert to fraction form
    3,013.01/4,157.48 = 1,686.77/x
  3. Step 3: Cross multiply
    3,013.01x = 4,157.48 × 1,686.77
  4. Step 4: Simplify right side
    3,013.01x = 7,012,704.11
  5. Step 5: Solve for x
    x = 7,012,704.11/3,013.01
  6. Step 6: Final answer
    x = 2,327.47

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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.