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Finding the Fourth Proportional to 1,639.72, 2,262.84 and 893.68

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Solution

The fourth proportional to 1,639.72, 2,262.84 and 893.68 is: 1,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.72 : 2,262.84 = 893.68 : x
  2. Step 2: Convert to fraction form
    1,639.72/2,262.84 = 893.68/x
  3. Step 3: Cross multiply
    1,639.72x = 2,262.84 × 893.68
  4. Step 4: Simplify right side
    1,639.72x = 2,022,248.36
  5. Step 5: Solve for x
    x = 2,022,248.36/1,639.72
  6. Step 6: Final answer
    x = 1,233.29

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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.