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Finding the Fourth Proportional to 2,174.56, 3,262.68 and 1,019.50

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Solution

The fourth proportional to 2,174.56, 3,262.68 and 1,019.50 is: 1,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.56 : 3,262.68 = 1,019.50 : x
  2. Step 2: Convert to fraction form
    2,174.56/3,262.68 = 1,019.50/x
  3. Step 3: Cross multiply
    2,174.56x = 3,262.68 × 1,019.50
  4. Step 4: Simplify right side
    2,174.56x = 3,326,302.26
  5. Step 5: Solve for x
    x = 3,326,302.26/2,174.56
  6. Step 6: Final answer
    x = 1,529.64

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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.