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Finding the Fourth Proportional to 1,946.51, 2,920.22 and 907.23

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Solution

The fourth proportional to 1,946.51, 2,920.22 and 907.23 is: 1,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.51 : 2,920.22 = 907.23 : x
  2. Step 2: Convert to fraction form
    1,946.51/2,920.22 = 907.23/x
  3. Step 3: Cross multiply
    1,946.51x = 2,920.22 × 907.23
  4. Step 4: Simplify right side
    1,946.51x = 2,649,321.01
  5. Step 5: Solve for x
    x = 2,649,321.01/1,946.51
  6. Step 6: Final answer
    x = 1,361.06

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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.