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Finding the Fourth Proportional to 3,005.46, 4,507.64 and 814.36

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Solution

The fourth proportional to 3,005.46, 4,507.64 and 814.36 is: 1,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.46 : 4,507.64 = 814.36 : x
  2. Step 2: Convert to fraction form
    3,005.46/4,507.64 = 814.36/x
  3. Step 3: Cross multiply
    3,005.46x = 4,507.64 × 814.36
  4. Step 4: Simplify right side
    3,005.46x = 3,670,841.71
  5. Step 5: Solve for x
    x = 3,670,841.71/3,005.46
  6. Step 6: Final answer
    x = 1,221.39

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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.