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Finding the Fourth Proportional to 2,964.70, 4,444.66 and 2,037.50

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Solution

The fourth proportional to 2,964.70, 4,444.66 and 2,037.50 is: 3,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.70 : 4,444.66 = 2,037.50 : x
  2. Step 2: Convert to fraction form
    2,964.70/4,444.66 = 2,037.50/x
  3. Step 3: Cross multiply
    2,964.70x = 4,444.66 × 2,037.50
  4. Step 4: Simplify right side
    2,964.70x = 9,056,000.77
  5. Step 5: Solve for x
    x = 9,056,000.77/2,964.70
  6. Step 6: Final answer
    x = 3,054.61

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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.