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Finding the Fourth Proportional to 2,947.04, 4,420.56 and 755.78

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Solution

The fourth proportional to 2,947.04, 4,420.56 and 755.78 is: 1,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.04 : 4,420.56 = 755.78 : x
  2. Step 2: Convert to fraction form
    2,947.04/4,420.56 = 755.78/x
  3. Step 3: Cross multiply
    2,947.04x = 4,420.56 × 755.78
  4. Step 4: Simplify right side
    2,947.04x = 3,340,970.84
  5. Step 5: Solve for x
    x = 3,340,970.84/2,947.04
  6. Step 6: Final answer
    x = 1,133.67

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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.