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Finding the Fourth Proportional to 2,046.85, 3,068.66 and 952.00

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Solution

The fourth proportional to 2,046.85, 3,068.66 and 952.00 is: 1,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.85 : 3,068.66 = 952.00 : x
  2. Step 2: Convert to fraction form
    2,046.85/3,068.66 = 952.00/x
  3. Step 3: Cross multiply
    2,046.85x = 3,068.66 × 952.00
  4. Step 4: Simplify right side
    2,046.85x = 2,921,359.03
  5. Step 5: Solve for x
    x = 2,921,359.03/2,046.85
  6. Step 6: Final answer
    x = 1,427.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.