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Finding the Fourth Proportional to 2,013.73, 2,780.44 and 1,736.94

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Solution

The fourth proportional to 2,013.73, 2,780.44 and 1,736.94 is: 2,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.73 : 2,780.44 = 1,736.94 : x
  2. Step 2: Convert to fraction form
    2,013.73/2,780.44 = 1,736.94/x
  3. Step 3: Cross multiply
    2,013.73x = 2,780.44 × 1,736.94
  4. Step 4: Simplify right side
    2,013.73x = 4,829,457.67
  5. Step 5: Solve for x
    x = 4,829,457.67/2,013.73
  6. Step 6: Final answer
    x = 2,398.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.