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Finding the Fourth Proportional to 1,946.26, 2,685.84 and 1,062.01

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Solution

The fourth proportional to 1,946.26, 2,685.84 and 1,062.01 is: 1,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.26 : 2,685.84 = 1,062.01 : x
  2. Step 2: Convert to fraction form
    1,946.26/2,685.84 = 1,062.01/x
  3. Step 3: Cross multiply
    1,946.26x = 2,685.84 × 1,062.01
  4. Step 4: Simplify right side
    1,946.26x = 2,852,375.51
  5. Step 5: Solve for x
    x = 2,852,375.51/1,946.26
  6. Step 6: Final answer
    x = 1,465.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.