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Finding the Fourth Proportional to 1,886, 2,602.44 and 1,099.76

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Solution

The fourth proportional to 1,886, 2,602.44 and 1,099.76 is: 1,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886 : 2,602.44 = 1,099.76 : x
  2. Step 2: Convert to fraction form
    1,886/2,602.44 = 1,099.76/x
  3. Step 3: Cross multiply
    1,886x = 2,602.44 × 1,099.76
  4. Step 4: Simplify right side
    1,886x = 2,862,059.41
  5. Step 5: Solve for x
    x = 2,862,059.41/1,886
  6. Step 6: Final answer
    x = 1,517.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.