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Finding the Fourth Proportional to 1,228.64, 1,835.78 and 1,185.58

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Solution

The fourth proportional to 1,228.64, 1,835.78 and 1,185.58 is: 1,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.64 : 1,835.78 = 1,185.58 : x
  2. Step 2: Convert to fraction form
    1,228.64/1,835.78 = 1,185.58/x
  3. Step 3: Cross multiply
    1,228.64x = 1,835.78 × 1,185.58
  4. Step 4: Simplify right side
    1,228.64x = 2,176,458.12
  5. Step 5: Solve for x
    x = 2,176,458.12/1,228.64
  6. Step 6: Final answer
    x = 1,771.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.