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Finding the Fourth Proportional to 2,124.90, 3,187.35 and 664.08

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Solution

The fourth proportional to 2,124.90, 3,187.35 and 664.08 is: 996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.90 : 3,187.35 = 664.08 : x
  2. Step 2: Convert to fraction form
    2,124.90/3,187.35 = 664.08/x
  3. Step 3: Cross multiply
    2,124.90x = 3,187.35 × 664.08
  4. Step 4: Simplify right side
    2,124.90x = 2,116,655.39
  5. Step 5: Solve for x
    x = 2,116,655.39/2,124.90
  6. Step 6: Final answer
    x = 996.12

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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.