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Finding the Fourth Proportional to 2,047.59, 2,826.08 and 1,302.43

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Solution

The fourth proportional to 2,047.59, 2,826.08 and 1,302.43 is: 1,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.59 : 2,826.08 = 1,302.43 : x
  2. Step 2: Convert to fraction form
    2,047.59/2,826.08 = 1,302.43/x
  3. Step 3: Cross multiply
    2,047.59x = 2,826.08 × 1,302.43
  4. Step 4: Simplify right side
    2,047.59x = 3,680,771.37
  5. Step 5: Solve for x
    x = 3,680,771.37/2,047.59
  6. Step 6: Final answer
    x = 1,797.61

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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.