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Finding the Fourth Proportional to 3,363.56, 4,642 and 1,947.76

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Solution

The fourth proportional to 3,363.56, 4,642 and 1,947.76 is: 2,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.56 : 4,642 = 1,947.76 : x
  2. Step 2: Convert to fraction form
    3,363.56/4,642 = 1,947.76/x
  3. Step 3: Cross multiply
    3,363.56x = 4,642 × 1,947.76
  4. Step 4: Simplify right side
    3,363.56x = 9,041,501.92
  5. Step 5: Solve for x
    x = 9,041,501.92/3,363.56
  6. Step 6: Final answer
    x = 2,688.08

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1.5x scale

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.