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Finding the Fourth Proportional to 1,584, 2,185.77 and 875.82

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Solution

The fourth proportional to 1,584, 2,185.77 and 875.82 is: 1,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,185.77 = 875.82 : x
  2. Step 2: Convert to fraction form
    1,584/2,185.77 = 875.82/x
  3. Step 3: Cross multiply
    1,584x = 2,185.77 × 875.82
  4. Step 4: Simplify right side
    1,584x = 1,914,341.08
  5. Step 5: Solve for x
    x = 1,914,341.08/1,584
  6. Step 6: Final answer
    x = 1,208.55

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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.