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Finding the Fourth Proportional to 1,855.54, 2,780.10 and 976.74

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Solution

The fourth proportional to 1,855.54, 2,780.10 and 976.74 is: 1,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.54 : 2,780.10 = 976.74 : x
  2. Step 2: Convert to fraction form
    1,855.54/2,780.10 = 976.74/x
  3. Step 3: Cross multiply
    1,855.54x = 2,780.10 × 976.74
  4. Step 4: Simplify right side
    1,855.54x = 2,715,420.97
  5. Step 5: Solve for x
    x = 2,715,420.97/1,855.54
  6. Step 6: Final answer
    x = 1,463.41

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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.