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Finding the Fourth Proportional to 1,584.63, 2,186.76 and 921.87

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Solution

The fourth proportional to 1,584.63, 2,186.76 and 921.87 is: 1,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.63 : 2,186.76 = 921.87 : x
  2. Step 2: Convert to fraction form
    1,584.63/2,186.76 = 921.87/x
  3. Step 3: Cross multiply
    1,584.63x = 2,186.76 × 921.87
  4. Step 4: Simplify right side
    1,584.63x = 2,015,908.44
  5. Step 5: Solve for x
    x = 2,015,908.44/1,584.63
  6. Step 6: Final answer
    x = 1,272.16

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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.