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Finding the Fourth Proportional to 1,886.11, 2,602.76 and 1,257.77

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Solution

The fourth proportional to 1,886.11, 2,602.76 and 1,257.77 is: 1,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.11 : 2,602.76 = 1,257.77 : x
  2. Step 2: Convert to fraction form
    1,886.11/2,602.76 = 1,257.77/x
  3. Step 3: Cross multiply
    1,886.11x = 2,602.76 × 1,257.77
  4. Step 4: Simplify right side
    1,886.11x = 3,273,673.66
  5. Step 5: Solve for x
    x = 3,273,673.66/1,886.11
  6. Step 6: Final answer
    x = 1,735.68

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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.