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Finding the Fourth Proportional to 2,832.10, 4,248.39 and 957.94

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Solution

The fourth proportional to 2,832.10, 4,248.39 and 957.94 is: 1,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.10 : 4,248.39 = 957.94 : x
  2. Step 2: Convert to fraction form
    2,832.10/4,248.39 = 957.94/x
  3. Step 3: Cross multiply
    2,832.10x = 4,248.39 × 957.94
  4. Step 4: Simplify right side
    2,832.10x = 4,069,695.69
  5. Step 5: Solve for x
    x = 4,069,695.69/2,832.10
  6. Step 6: Final answer
    x = 1,436.99

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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.