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Finding the Fourth Proportional to 2,133.85, 3,201 and 901.10

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Solution

The fourth proportional to 2,133.85, 3,201 and 901.10 is: 1,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.85 : 3,201 = 901.10 : x
  2. Step 2: Convert to fraction form
    2,133.85/3,201 = 901.10/x
  3. Step 3: Cross multiply
    2,133.85x = 3,201 × 901.10
  4. Step 4: Simplify right side
    2,133.85x = 2,884,421.10
  5. Step 5: Solve for x
    x = 2,884,421.10/2,133.85
  6. Step 6: Final answer
    x = 1,351.75

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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.