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Finding the Fourth Proportional to 3,237.70, 4,856.06 and 897.46

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Solution

The fourth proportional to 3,237.70, 4,856.06 and 897.46 is: 1,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.70 : 4,856.06 = 897.46 : x
  2. Step 2: Convert to fraction form
    3,237.70/4,856.06 = 897.46/x
  3. Step 3: Cross multiply
    3,237.70x = 4,856.06 × 897.46
  4. Step 4: Simplify right side
    3,237.70x = 4,358,100.54
  5. Step 5: Solve for x
    x = 4,358,100.54/3,237.70
  6. Step 6: Final answer
    x = 1,346.05

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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.