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Finding the Fourth Proportional to 1,584.08, 2,185.98 and 875.92

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Solution

The fourth proportional to 1,584.08, 2,185.98 and 875.92 is: 1,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.08 : 2,185.98 = 875.92 : x
  2. Step 2: Convert to fraction form
    1,584.08/2,185.98 = 875.92/x
  3. Step 3: Cross multiply
    1,584.08x = 2,185.98 × 875.92
  4. Step 4: Simplify right side
    1,584.08x = 1,914,743.60
  5. Step 5: Solve for x
    x = 1,914,743.60/1,584.08
  6. Step 6: Final answer
    x = 1,208.74

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1.5x scale

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.