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Finding the Fourth Proportional to 1,584.34, 2,186.49 and 912.37

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Solution

The fourth proportional to 1,584.34, 2,186.49 and 912.37 is: 1,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.34 : 2,186.49 = 912.37 : x
  2. Step 2: Convert to fraction form
    1,584.34/2,186.49 = 912.37/x
  3. Step 3: Cross multiply
    1,584.34x = 2,186.49 × 912.37
  4. Step 4: Simplify right side
    1,584.34x = 1,994,883.32
  5. Step 5: Solve for x
    x = 1,994,883.32/1,584.34
  6. Step 6: Final answer
    x = 1,259.13

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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.