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Finding the Fourth Proportional to 2,048.49, 3,071.93 and 952.97

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Solution

The fourth proportional to 2,048.49, 3,071.93 and 952.97 is: 1,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.49 : 3,071.93 = 952.97 : x
  2. Step 2: Convert to fraction form
    2,048.49/3,071.93 = 952.97/x
  3. Step 3: Cross multiply
    2,048.49x = 3,071.93 × 952.97
  4. Step 4: Simplify right side
    2,048.49x = 2,927,437.01
  5. Step 5: Solve for x
    x = 2,927,437.01/2,048.49
  6. Step 6: Final answer
    x = 1,429.07

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1.5x scale

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.