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Finding the Fourth Proportional to 1,716.75, 2,369.09 and 930.83

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Solution

The fourth proportional to 1,716.75, 2,369.09 and 930.83 is: 1,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.75 : 2,369.09 = 930.83 : x
  2. Step 2: Convert to fraction form
    1,716.75/2,369.09 = 930.83/x
  3. Step 3: Cross multiply
    1,716.75x = 2,369.09 × 930.83
  4. Step 4: Simplify right side
    1,716.75x = 2,205,210.53
  5. Step 5: Solve for x
    x = 2,205,210.53/1,716.75
  6. Step 6: Final answer
    x = 1,284.53

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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.