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Finding the Fourth Proportional to 3,005.84, 4,508.06 and 814.59

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Solution

The fourth proportional to 3,005.84, 4,508.06 and 814.59 is: 1,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.84 : 4,508.06 = 814.59 : x
  2. Step 2: Convert to fraction form
    3,005.84/4,508.06 = 814.59/x
  3. Step 3: Cross multiply
    3,005.84x = 4,508.06 × 814.59
  4. Step 4: Simplify right side
    3,005.84x = 3,672,216.52
  5. Step 5: Solve for x
    x = 3,672,216.52/3,005.84
  6. Step 6: Final answer
    x = 1,221.69

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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.