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Finding the Fourth Proportional to 1,998.14, 2,994.64 and 901.67

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Solution

The fourth proportional to 1,998.14, 2,994.64 and 901.67 is: 1,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.14 : 2,994.64 = 901.67 : x
  2. Step 2: Convert to fraction form
    1,998.14/2,994.64 = 901.67/x
  3. Step 3: Cross multiply
    1,998.14x = 2,994.64 × 901.67
  4. Step 4: Simplify right side
    1,998.14x = 2,700,159.82
  5. Step 5: Solve for x
    x = 2,700,159.82/1,998.14
  6. Step 6: Final answer
    x = 1,351.34

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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.