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Finding the Fourth Proportional to 1,885.84, 2,602.56 and 1,099.84

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Solution

The fourth proportional to 1,885.84, 2,602.56 and 1,099.84 is: 1,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.84 : 2,602.56 = 1,099.84 : x
  2. Step 2: Convert to fraction form
    1,885.84/2,602.56 = 1,099.84/x
  3. Step 3: Cross multiply
    1,885.84x = 2,602.56 × 1,099.84
  4. Step 4: Simplify right side
    1,885.84x = 2,862,399.59
  5. Step 5: Solve for x
    x = 2,862,399.59/1,885.84
  6. Step 6: Final answer
    x = 1,517.84

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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.