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Finding the Fourth Proportional to 2,299.86, 3,450.36 and 1,001.40

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Solution

The fourth proportional to 2,299.86, 3,450.36 and 1,001.40 is: 1,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.86 : 3,450.36 = 1,001.40 : x
  2. Step 2: Convert to fraction form
    2,299.86/3,450.36 = 1,001.40/x
  3. Step 3: Cross multiply
    2,299.86x = 3,450.36 × 1,001.40
  4. Step 4: Simplify right side
    2,299.86x = 3,455,190.50
  5. Step 5: Solve for x
    x = 3,455,190.50/2,299.86
  6. Step 6: Final answer
    x = 1,502.35

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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.