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Finding the Fourth Proportional to 2,045.82, 2,819.79 and 1,652.70

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Solution

The fourth proportional to 2,045.82, 2,819.79 and 1,652.70 is: 2,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.82 : 2,819.79 = 1,652.70 : x
  2. Step 2: Convert to fraction form
    2,045.82/2,819.79 = 1,652.70/x
  3. Step 3: Cross multiply
    2,045.82x = 2,819.79 × 1,652.70
  4. Step 4: Simplify right side
    2,045.82x = 4,660,266.93
  5. Step 5: Solve for x
    x = 4,660,266.93/2,045.82
  6. Step 6: Final answer
    x = 2,277.95

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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.