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Finding the Fourth Proportional to 2,483.64, 3,427.92 and 1,893.12

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Solution

The fourth proportional to 2,483.64, 3,427.92 and 1,893.12 is: 2,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.64 : 3,427.92 = 1,893.12 : x
  2. Step 2: Convert to fraction form
    2,483.64/3,427.92 = 1,893.12/x
  3. Step 3: Cross multiply
    2,483.64x = 3,427.92 × 1,893.12
  4. Step 4: Simplify right side
    2,483.64x = 6,489,463.91
  5. Step 5: Solve for x
    x = 6,489,463.91/2,483.64
  6. Step 6: Final answer
    x = 2,612.88

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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.