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Finding the Fourth Proportional to 1,638.61, 2,456.31 and 906.64

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Solution

The fourth proportional to 1,638.61, 2,456.31 and 906.64 is: 1,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.61 : 2,456.31 = 906.64 : x
  2. Step 2: Convert to fraction form
    1,638.61/2,456.31 = 906.64/x
  3. Step 3: Cross multiply
    1,638.61x = 2,456.31 × 906.64
  4. Step 4: Simplify right side
    1,638.61x = 2,226,988.90
  5. Step 5: Solve for x
    x = 2,226,988.90/1,638.61
  6. Step 6: Final answer
    x = 1,359.07

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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.