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Finding the Fourth Proportional to 2,830.87, 3,906.58 and 1,554.77

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Solution

The fourth proportional to 2,830.87, 3,906.58 and 1,554.77 is: 2,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.87 : 3,906.58 = 1,554.77 : x
  2. Step 2: Convert to fraction form
    2,830.87/3,906.58 = 1,554.77/x
  3. Step 3: Cross multiply
    2,830.87x = 3,906.58 × 1,554.77
  4. Step 4: Simplify right side
    2,830.87x = 6,073,854.23
  5. Step 5: Solve for x
    x = 6,073,854.23/2,830.87
  6. Step 6: Final answer
    x = 2,145.58

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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.