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Finding the Fourth Proportional to 1,786.18, 2,464.81 and 989.46

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Solution

The fourth proportional to 1,786.18, 2,464.81 and 989.46 is: 1,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.18 : 2,464.81 = 989.46 : x
  2. Step 2: Convert to fraction form
    1,786.18/2,464.81 = 989.46/x
  3. Step 3: Cross multiply
    1,786.18x = 2,464.81 × 989.46
  4. Step 4: Simplify right side
    1,786.18x = 2,438,830.90
  5. Step 5: Solve for x
    x = 2,438,830.90/1,786.18
  6. Step 6: Final answer
    x = 1,365.39

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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.