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Finding the Fourth Proportional to 1,947.78, 2,920.39 and 907.22

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Solution

The fourth proportional to 1,947.78, 2,920.39 and 907.22 is: 1,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.78 : 2,920.39 = 907.22 : x
  2. Step 2: Convert to fraction form
    1,947.78/2,920.39 = 907.22/x
  3. Step 3: Cross multiply
    1,947.78x = 2,920.39 × 907.22
  4. Step 4: Simplify right side
    1,947.78x = 2,649,441.25
  5. Step 5: Solve for x
    x = 2,649,441.25/1,947.78
  6. Step 6: Final answer
    x = 1,360.24

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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.