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Finding the Fourth Proportional to 3,155.98, 4,733.86 and 964.72

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Solution

The fourth proportional to 3,155.98, 4,733.86 and 964.72 is: 1,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.98 : 4,733.86 = 964.72 : x
  2. Step 2: Convert to fraction form
    3,155.98/4,733.86 = 964.72/x
  3. Step 3: Cross multiply
    3,155.98x = 4,733.86 × 964.72
  4. Step 4: Simplify right side
    3,155.98x = 4,566,849.42
  5. Step 5: Solve for x
    x = 4,566,849.42/3,155.98
  6. Step 6: Final answer
    x = 1,447.05

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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.