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Finding the Fourth Proportional to 1,863.68, 2,570.48 and 1,780.96

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Solution

The fourth proportional to 1,863.68, 2,570.48 and 1,780.96 is: 2,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.68 : 2,570.48 = 1,780.96 : x
  2. Step 2: Convert to fraction form
    1,863.68/2,570.48 = 1,780.96/x
  3. Step 3: Cross multiply
    1,863.68x = 2,570.48 × 1,780.96
  4. Step 4: Simplify right side
    1,863.68x = 4,577,922.06
  5. Step 5: Solve for x
    x = 4,577,922.06/1,863.68
  6. Step 6: Final answer
    x = 2,456.39

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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.