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Finding the Fourth Proportional to 2,582.58, 3,873.90 and 2,037.66

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Solution

The fourth proportional to 2,582.58, 3,873.90 and 2,037.66 is: 3,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.58 : 3,873.90 = 2,037.66 : x
  2. Step 2: Convert to fraction form
    2,582.58/3,873.90 = 2,037.66/x
  3. Step 3: Cross multiply
    2,582.58x = 3,873.90 × 2,037.66
  4. Step 4: Simplify right side
    2,582.58x = 7,893,691.07
  5. Step 5: Solve for x
    x = 7,893,691.07/2,582.58
  6. Step 6: Final answer
    x = 3,056.51

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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.