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Finding the Fourth Proportional to 3,146.82, 4,720.34 and 955.55

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Solution

The fourth proportional to 3,146.82, 4,720.34 and 955.55 is: 1,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.82 : 4,720.34 = 955.55 : x
  2. Step 2: Convert to fraction form
    3,146.82/4,720.34 = 955.55/x
  3. Step 3: Cross multiply
    3,146.82x = 4,720.34 × 955.55
  4. Step 4: Simplify right side
    3,146.82x = 4,510,508.52
  5. Step 5: Solve for x
    x = 4,510,508.52/3,146.82
  6. Step 6: Final answer
    x = 1,433.35

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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.