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Finding the Fourth Proportional to 1,780.47, 2,455.77 and 1,189.98

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Solution

The fourth proportional to 1,780.47, 2,455.77 and 1,189.98 is: 1,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.47 : 2,455.77 = 1,189.98 : x
  2. Step 2: Convert to fraction form
    1,780.47/2,455.77 = 1,189.98/x
  3. Step 3: Cross multiply
    1,780.47x = 2,455.77 × 1,189.98
  4. Step 4: Simplify right side
    1,780.47x = 2,922,317.18
  5. Step 5: Solve for x
    x = 2,922,317.18/1,780.47
  6. Step 6: Final answer
    x = 1,641.32

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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.