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Finding the Fourth Proportional to 2,944.42, 4,063.28 and 1,766.16

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Solution

The fourth proportional to 2,944.42, 4,063.28 and 1,766.16 is: 2,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.42 : 4,063.28 = 1,766.16 : x
  2. Step 2: Convert to fraction form
    2,944.42/4,063.28 = 1,766.16/x
  3. Step 3: Cross multiply
    2,944.42x = 4,063.28 × 1,766.16
  4. Step 4: Simplify right side
    2,944.42x = 7,176,393.77
  5. Step 5: Solve for x
    x = 7,176,393.77/2,944.42
  6. Step 6: Final answer
    x = 2,437.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.