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Finding the Fourth Proportional to 1,786.40, 2,465.14 and 989.68

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Solution

The fourth proportional to 1,786.40, 2,465.14 and 989.68 is: 1,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.40 : 2,465.14 = 989.68 : x
  2. Step 2: Convert to fraction form
    1,786.40/2,465.14 = 989.68/x
  3. Step 3: Cross multiply
    1,786.40x = 2,465.14 × 989.68
  4. Step 4: Simplify right side
    1,786.40x = 2,439,699.76
  5. Step 5: Solve for x
    x = 2,439,699.76/1,786.40
  6. Step 6: Final answer
    x = 1,365.71

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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.