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Finding the Fourth Proportional to 2,133.12, 3,199.70 and 594.12

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Solution

The fourth proportional to 2,133.12, 3,199.70 and 594.12 is: 891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.12 : 3,199.70 = 594.12 : x
  2. Step 2: Convert to fraction form
    2,133.12/3,199.70 = 594.12/x
  3. Step 3: Cross multiply
    2,133.12x = 3,199.70 × 594.12
  4. Step 4: Simplify right side
    2,133.12x = 1,901,005.76
  5. Step 5: Solve for x
    x = 1,901,005.76/2,133.12
  6. Step 6: Final answer
    x = 891.19

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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.