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Finding the Fourth Proportional to 1,646.19, 2,468.07 and 996.77

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Solution

The fourth proportional to 1,646.19, 2,468.07 and 996.77 is: 1,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.19 : 2,468.07 = 996.77 : x
  2. Step 2: Convert to fraction form
    1,646.19/2,468.07 = 996.77/x
  3. Step 3: Cross multiply
    1,646.19x = 2,468.07 × 996.77
  4. Step 4: Simplify right side
    1,646.19x = 2,460,104.30
  5. Step 5: Solve for x
    x = 2,460,104.30/1,646.19
  6. Step 6: Final answer
    x = 1,494.42

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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.