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Finding the Fourth Proportional to 2,048.73, 3,071.70 and 952.50

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Solution

The fourth proportional to 2,048.73, 3,071.70 and 952.50 is: 1,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.73 : 3,071.70 = 952.50 : x
  2. Step 2: Convert to fraction form
    2,048.73/3,071.70 = 952.50/x
  3. Step 3: Cross multiply
    2,048.73x = 3,071.70 × 952.50
  4. Step 4: Simplify right side
    2,048.73x = 2,925,794.25
  5. Step 5: Solve for x
    x = 2,925,794.25/2,048.73
  6. Step 6: Final answer
    x = 1,428.10

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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.