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Finding the Fourth Proportional to 1,780.40, 2,670.54 and 805.82

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Solution

The fourth proportional to 1,780.40, 2,670.54 and 805.82 is: 1,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.40 : 2,670.54 = 805.82 : x
  2. Step 2: Convert to fraction form
    1,780.40/2,670.54 = 805.82/x
  3. Step 3: Cross multiply
    1,780.40x = 2,670.54 × 805.82
  4. Step 4: Simplify right side
    1,780.40x = 2,151,974.54
  5. Step 5: Solve for x
    x = 2,151,974.54/1,780.40
  6. Step 6: Final answer
    x = 1,208.70

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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.