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Finding the Fourth Proportional to 1,450.08, 1,999.16 and 1,134.12

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Solution

The fourth proportional to 1,450.08, 1,999.16 and 1,134.12 is: 1,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.08 : 1,999.16 = 1,134.12 : x
  2. Step 2: Convert to fraction form
    1,450.08/1,999.16 = 1,134.12/x
  3. Step 3: Cross multiply
    1,450.08x = 1,999.16 × 1,134.12
  4. Step 4: Simplify right side
    1,450.08x = 2,267,281.67
  5. Step 5: Solve for x
    x = 2,267,281.67/1,450.08
  6. Step 6: Final answer
    x = 1,563.56

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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.