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Finding the Fourth Proportional to 2,595.63, 3,893.34 and 1,426.19

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Solution

The fourth proportional to 2,595.63, 3,893.34 and 1,426.19 is: 2,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.63 : 3,893.34 = 1,426.19 : x
  2. Step 2: Convert to fraction form
    2,595.63/3,893.34 = 1,426.19/x
  3. Step 3: Cross multiply
    2,595.63x = 3,893.34 × 1,426.19
  4. Step 4: Simplify right side
    2,595.63x = 5,552,623.11
  5. Step 5: Solve for x
    x = 5,552,623.11/2,595.63
  6. Step 6: Final answer
    x = 2,139.22

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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.