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Finding the Fourth Proportional to 3,201.92, 4,802.16 and 893.60

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Solution

The fourth proportional to 3,201.92, 4,802.16 and 893.60 is: 1,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.92 : 4,802.16 = 893.60 : x
  2. Step 2: Convert to fraction form
    3,201.92/4,802.16 = 893.60/x
  3. Step 3: Cross multiply
    3,201.92x = 4,802.16 × 893.60
  4. Step 4: Simplify right side
    3,201.92x = 4,291,210.18
  5. Step 5: Solve for x
    x = 4,291,210.18/3,201.92
  6. Step 6: Final answer
    x = 1,340.20

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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.