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Finding the Fourth Proportional to 3,009.50, 4,514.93 and 929.69

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Solution

The fourth proportional to 3,009.50, 4,514.93 and 929.69 is: 1,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.50 : 4,514.93 = 929.69 : x
  2. Step 2: Convert to fraction form
    3,009.50/4,514.93 = 929.69/x
  3. Step 3: Cross multiply
    3,009.50x = 4,514.93 × 929.69
  4. Step 4: Simplify right side
    3,009.50x = 4,197,485.27
  5. Step 5: Solve for x
    x = 4,197,485.27/3,009.50
  6. Step 6: Final answer
    x = 1,394.75

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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.