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Finding the Fourth Proportional to 1,826.33, 2,520.47 and 1,029.96

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Solution

The fourth proportional to 1,826.33, 2,520.47 and 1,029.96 is: 1,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.33 : 2,520.47 = 1,029.96 : x
  2. Step 2: Convert to fraction form
    1,826.33/2,520.47 = 1,029.96/x
  3. Step 3: Cross multiply
    1,826.33x = 2,520.47 × 1,029.96
  4. Step 4: Simplify right side
    1,826.33x = 2,595,985.86
  5. Step 5: Solve for x
    x = 2,595,985.86/1,826.33
  6. Step 6: Final answer
    x = 1,421.43

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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.