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Finding the Fourth Proportional to 2,142.88, 3,211.20 and 1,046.00

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Solution

The fourth proportional to 2,142.88, 3,211.20 and 1,046.00 is: 1,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.88 : 3,211.20 = 1,046.00 : x
  2. Step 2: Convert to fraction form
    2,142.88/3,211.20 = 1,046.00/x
  3. Step 3: Cross multiply
    2,142.88x = 3,211.20 × 1,046.00
  4. Step 4: Simplify right side
    2,142.88x = 3,358,923.23
  5. Step 5: Solve for x
    x = 3,358,923.23/2,142.88
  6. Step 6: Final answer
    x = 1,567.48

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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.