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Finding the Fourth Proportional to 4,102.98, 6,157.70 and 1,506.66

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Solution

The fourth proportional to 4,102.98, 6,157.70 and 1,506.66 is: 2,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.98 : 6,157.70 = 1,506.66 : x
  2. Step 2: Convert to fraction form
    4,102.98/6,157.70 = 1,506.66/x
  3. Step 3: Cross multiply
    4,102.98x = 6,157.70 × 1,506.66
  4. Step 4: Simplify right side
    4,102.98x = 9,277,560.28
  5. Step 5: Solve for x
    x = 9,277,560.28/4,102.98
  6. Step 6: Final answer
    x = 2,261.18

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