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Finding the Fourth Proportional to 3,284.70, 4,925.60 and 944.18

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Solution

The fourth proportional to 3,284.70, 4,925.60 and 944.18 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.70 : 4,925.60 = 944.18 : x
  2. Step 2: Convert to fraction form
    3,284.70/4,925.60 = 944.18/x
  3. Step 3: Cross multiply
    3,284.70x = 4,925.60 × 944.18
  4. Step 4: Simplify right side
    3,284.70x = 4,650,653.01
  5. Step 5: Solve for x
    x = 4,650,653.01/3,284.70
  6. Step 6: Final answer
    x = 1,415.85

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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.