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Finding the Fourth Proportional to 2,050, 2,829 and 1,118.56

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Solution

The fourth proportional to 2,050, 2,829 and 1,118.56 is: 1,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050 : 2,829 = 1,118.56 : x
  2. Step 2: Convert to fraction form
    2,050/2,829 = 1,118.56/x
  3. Step 3: Cross multiply
    2,050x = 2,829 × 1,118.56
  4. Step 4: Simplify right side
    2,050x = 3,164,406.24
  5. Step 5: Solve for x
    x = 3,164,406.24/2,050
  6. Step 6: Final answer
    x = 1,543.61

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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.