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Finding the Fourth Proportional to 2,594.30, 3,890.84 and 1,276.70

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Solution

The fourth proportional to 2,594.30, 3,890.84 and 1,276.70 is: 1,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.30 : 3,890.84 = 1,276.70 : x
  2. Step 2: Convert to fraction form
    2,594.30/3,890.84 = 1,276.70/x
  3. Step 3: Cross multiply
    2,594.30x = 3,890.84 × 1,276.70
  4. Step 4: Simplify right side
    2,594.30x = 4,967,409.59
  5. Step 5: Solve for x
    x = 4,967,409.59/2,594.30
  6. Step 6: Final answer
    x = 1,914.74

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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.