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Finding the Fourth Proportional to 1,780.86, 2,458.80 and 1,193.10

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Solution

The fourth proportional to 1,780.86, 2,458.80 and 1,193.10 is: 1,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.86 : 2,458.80 = 1,193.10 : x
  2. Step 2: Convert to fraction form
    1,780.86/2,458.80 = 1,193.10/x
  3. Step 3: Cross multiply
    1,780.86x = 2,458.80 × 1,193.10
  4. Step 4: Simplify right side
    1,780.86x = 2,933,594.28
  5. Step 5: Solve for x
    x = 2,933,594.28/1,780.86
  6. Step 6: Final answer
    x = 1,647.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.