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Finding the Fourth Proportional to 3,248.64, 4,483.03 and 1,832.32

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Solution

The fourth proportional to 3,248.64, 4,483.03 and 1,832.32 is: 2,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.64 : 4,483.03 = 1,832.32 : x
  2. Step 2: Convert to fraction form
    3,248.64/4,483.03 = 1,832.32/x
  3. Step 3: Cross multiply
    3,248.64x = 4,483.03 × 1,832.32
  4. Step 4: Simplify right side
    3,248.64x = 8,214,327.70
  5. Step 5: Solve for x
    x = 8,214,327.70/3,248.64
  6. Step 6: Final answer
    x = 2,528.54

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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.