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Finding the Fourth Proportional to 3,181.52, 4,389.76 and 1,784.32

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Solution

The fourth proportional to 3,181.52, 4,389.76 and 1,784.32 is: 2,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.52 : 4,389.76 = 1,784.32 : x
  2. Step 2: Convert to fraction form
    3,181.52/4,389.76 = 1,784.32/x
  3. Step 3: Cross multiply
    3,181.52x = 4,389.76 × 1,784.32
  4. Step 4: Simplify right side
    3,181.52x = 7,832,736.56
  5. Step 5: Solve for x
    x = 7,832,736.56/3,181.52
  6. Step 6: Final answer
    x = 2,461.95

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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.