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Finding the Fourth Proportional to 2,046.96, 3,069.73 and 1,430.95

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Solution

The fourth proportional to 2,046.96, 3,069.73 and 1,430.95 is: 2,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.96 : 3,069.73 = 1,430.95 : x
  2. Step 2: Convert to fraction form
    2,046.96/3,069.73 = 1,430.95/x
  3. Step 3: Cross multiply
    2,046.96x = 3,069.73 × 1,430.95
  4. Step 4: Simplify right side
    2,046.96x = 4,392,630.14
  5. Step 5: Solve for x
    x = 4,392,630.14/2,046.96
  6. Step 6: Final answer
    x = 2,145.93

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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.