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Finding the Fourth Proportional to 3,006.31, 4,509.89 and 926.49

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Solution

The fourth proportional to 3,006.31, 4,509.89 and 926.49 is: 1,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.31 : 4,509.89 = 926.49 : x
  2. Step 2: Convert to fraction form
    3,006.31/4,509.89 = 926.49/x
  3. Step 3: Cross multiply
    3,006.31x = 4,509.89 × 926.49
  4. Step 4: Simplify right side
    3,006.31x = 4,178,347.75
  5. Step 5: Solve for x
    x = 4,178,347.75/3,006.31
  6. Step 6: Final answer
    x = 1,389.86

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1.5x scale

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.