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Finding the Fourth Proportional to 3,238.41, 4,856.67 and 897.81

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Solution

The fourth proportional to 3,238.41, 4,856.67 and 897.81 is: 1,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.41 : 4,856.67 = 897.81 : x
  2. Step 2: Convert to fraction form
    3,238.41/4,856.67 = 897.81/x
  3. Step 3: Cross multiply
    3,238.41x = 4,856.67 × 897.81
  4. Step 4: Simplify right side
    3,238.41x = 4,360,366.89
  5. Step 5: Solve for x
    x = 4,360,366.89/3,238.41
  6. Step 6: Final answer
    x = 1,346.45

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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.