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Finding the Fourth Proportional to 3,034.94, 4,188.74 and 1,758.64

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Solution

The fourth proportional to 3,034.94, 4,188.74 and 1,758.64 is: 2,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.94 : 4,188.74 = 1,758.64 : x
  2. Step 2: Convert to fraction form
    3,034.94/4,188.74 = 1,758.64/x
  3. Step 3: Cross multiply
    3,034.94x = 4,188.74 × 1,758.64
  4. Step 4: Simplify right side
    3,034.94x = 7,366,485.71
  5. Step 5: Solve for x
    x = 7,366,485.71/3,034.94
  6. Step 6: Final answer
    x = 2,427.23

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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.