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Finding the Fourth Proportional to 2,131.25, 3,196.88 and 592.25

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Solution

The fourth proportional to 2,131.25, 3,196.88 and 592.25 is: 888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.25 : 3,196.88 = 592.25 : x
  2. Step 2: Convert to fraction form
    2,131.25/3,196.88 = 592.25/x
  3. Step 3: Cross multiply
    2,131.25x = 3,196.88 × 592.25
  4. Step 4: Simplify right side
    2,131.25x = 1,893,349.22
  5. Step 5: Solve for x
    x = 1,893,349.22/2,131.25
  6. Step 6: Final answer
    x = 888.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.