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Finding the Fourth Proportional to 2,758.25, 4,137.34 and 1,114.77

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Solution

The fourth proportional to 2,758.25, 4,137.34 and 1,114.77 is: 1,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.25 : 4,137.34 = 1,114.77 : x
  2. Step 2: Convert to fraction form
    2,758.25/4,137.34 = 1,114.77/x
  3. Step 3: Cross multiply
    2,758.25x = 4,137.34 × 1,114.77
  4. Step 4: Simplify right side
    2,758.25x = 4,612,182.51
  5. Step 5: Solve for x
    x = 4,612,182.51/2,758.25
  6. Step 6: Final answer
    x = 1,672.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.