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Finding the Fourth Proportional to 2,832.02, 3,902.74 and 1,886.74

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Solution

The fourth proportional to 2,832.02, 3,902.74 and 1,886.74 is: 2,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.02 : 3,902.74 = 1,886.74 : x
  2. Step 2: Convert to fraction form
    2,832.02/3,902.74 = 1,886.74/x
  3. Step 3: Cross multiply
    2,832.02x = 3,902.74 × 1,886.74
  4. Step 4: Simplify right side
    2,832.02x = 7,363,455.67
  5. Step 5: Solve for x
    x = 7,363,455.67/2,832.02
  6. Step 6: Final answer
    x = 2,600.07

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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.