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Finding the Fourth Proportional to 1,584.72, 2,187.36 and 921.84

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Solution

The fourth proportional to 1,584.72, 2,187.36 and 921.84 is: 1,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.72 : 2,187.36 = 921.84 : x
  2. Step 2: Convert to fraction form
    1,584.72/2,187.36 = 921.84/x
  3. Step 3: Cross multiply
    1,584.72x = 2,187.36 × 921.84
  4. Step 4: Simplify right side
    1,584.72x = 2,016,395.94
  5. Step 5: Solve for x
    x = 2,016,395.94/1,584.72
  6. Step 6: Final answer
    x = 1,272.40

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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.