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Finding the Fourth Proportional to 1,584.32, 2,186.02 and 921.12

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Solution

The fourth proportional to 1,584.32, 2,186.02 and 921.12 is: 1,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.32 : 2,186.02 = 921.12 : x
  2. Step 2: Convert to fraction form
    1,584.32/2,186.02 = 921.12/x
  3. Step 3: Cross multiply
    1,584.32x = 2,186.02 × 921.12
  4. Step 4: Simplify right side
    1,584.32x = 2,013,586.74
  5. Step 5: Solve for x
    x = 2,013,586.74/1,584.32
  6. Step 6: Final answer
    x = 1,270.95

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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.