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Finding the Fourth Proportional to 2,055.47, 3,081.06 and 958.92

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Solution

The fourth proportional to 2,055.47, 3,081.06 and 958.92 is: 1,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.47 : 3,081.06 = 958.92 : x
  2. Step 2: Convert to fraction form
    2,055.47/3,081.06 = 958.92/x
  3. Step 3: Cross multiply
    2,055.47x = 3,081.06 × 958.92
  4. Step 4: Simplify right side
    2,055.47x = 2,954,490.06
  5. Step 5: Solve for x
    x = 2,954,490.06/2,055.47
  6. Step 6: Final answer
    x = 1,437.38

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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.