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Finding the Fourth Proportional to 2,947.02, 4,420.38 and 866.94

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Solution

The fourth proportional to 2,947.02, 4,420.38 and 866.94 is: 1,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.02 : 4,420.38 = 866.94 : x
  2. Step 2: Convert to fraction form
    2,947.02/4,420.38 = 866.94/x
  3. Step 3: Cross multiply
    2,947.02x = 4,420.38 × 866.94
  4. Step 4: Simplify right side
    2,947.02x = 3,832,204.24
  5. Step 5: Solve for x
    x = 3,832,204.24/2,947.02
  6. Step 6: Final answer
    x = 1,300.37

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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.