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Finding the Fourth Proportional to 1,784.52, 2,673.84 and 1,716.16

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Solution

The fourth proportional to 1,784.52, 2,673.84 and 1,716.16 is: 2,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.52 : 2,673.84 = 1,716.16 : x
  2. Step 2: Convert to fraction form
    1,784.52/2,673.84 = 1,716.16/x
  3. Step 3: Cross multiply
    1,784.52x = 2,673.84 × 1,716.16
  4. Step 4: Simplify right side
    1,784.52x = 4,588,737.25
  5. Step 5: Solve for x
    x = 4,588,737.25/1,784.52
  6. Step 6: Final answer
    x = 2,571.41

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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.