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Finding the Fourth Proportional to 1,886.06, 2,602.32 and 1,099.82

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Solution

The fourth proportional to 1,886.06, 2,602.32 and 1,099.82 is: 1,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.06 : 2,602.32 = 1,099.82 : x
  2. Step 2: Convert to fraction form
    1,886.06/2,602.32 = 1,099.82/x
  3. Step 3: Cross multiply
    1,886.06x = 2,602.32 × 1,099.82
  4. Step 4: Simplify right side
    1,886.06x = 2,862,083.58
  5. Step 5: Solve for x
    x = 2,862,083.58/1,886.06
  6. Step 6: Final answer
    x = 1,517.49

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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.