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Finding the Fourth Proportional to 1,885.88, 2,833.29 and 1,780.99

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Solution

The fourth proportional to 1,885.88, 2,833.29 and 1,780.99 is: 2,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.88 : 2,833.29 = 1,780.99 : x
  2. Step 2: Convert to fraction form
    1,885.88/2,833.29 = 1,780.99/x
  3. Step 3: Cross multiply
    1,885.88x = 2,833.29 × 1,780.99
  4. Step 4: Simplify right side
    1,885.88x = 5,046,054.07
  5. Step 5: Solve for x
    x = 5,046,054.07/1,885.88
  6. Step 6: Final answer
    x = 2,675.70

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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.