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Finding the Fourth Proportional to 2,049.60, 2,827.26 and 1,458.84

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Solution

The fourth proportional to 2,049.60, 2,827.26 and 1,458.84 is: 2,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.60 : 2,827.26 = 1,458.84 : x
  2. Step 2: Convert to fraction form
    2,049.60/2,827.26 = 1,458.84/x
  3. Step 3: Cross multiply
    2,049.60x = 2,827.26 × 1,458.84
  4. Step 4: Simplify right side
    2,049.60x = 4,124,519.98
  5. Step 5: Solve for x
    x = 4,124,519.98/2,049.60
  6. Step 6: Final answer
    x = 2,012.35

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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.