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Finding the Fourth Proportional to 2,051.58, 3,078.14 and 1,230.45

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Solution

The fourth proportional to 2,051.58, 3,078.14 and 1,230.45 is: 1,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.58 : 3,078.14 = 1,230.45 : x
  2. Step 2: Convert to fraction form
    2,051.58/3,078.14 = 1,230.45/x
  3. Step 3: Cross multiply
    2,051.58x = 3,078.14 × 1,230.45
  4. Step 4: Simplify right side
    2,051.58x = 3,787,497.36
  5. Step 5: Solve for x
    x = 3,787,497.36/2,051.58
  6. Step 6: Final answer
    x = 1,846.14

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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.