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Finding the Fourth Proportional to 2,001.85, 2,762.11 and 1,162.07

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Solution

The fourth proportional to 2,001.85, 2,762.11 and 1,162.07 is: 1,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.85 : 2,762.11 = 1,162.07 : x
  2. Step 2: Convert to fraction form
    2,001.85/2,762.11 = 1,162.07/x
  3. Step 3: Cross multiply
    2,001.85x = 2,762.11 × 1,162.07
  4. Step 4: Simplify right side
    2,001.85x = 3,209,765.17
  5. Step 5: Solve for x
    x = 3,209,765.17/2,001.85
  6. Step 6: Final answer
    x = 1,603.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.