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Finding the Fourth Proportional to 2,959.60, 4,081.74 and 1,780.45

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Solution

The fourth proportional to 2,959.60, 4,081.74 and 1,780.45 is: 2,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.60 : 4,081.74 = 1,780.45 : x
  2. Step 2: Convert to fraction form
    2,959.60/4,081.74 = 1,780.45/x
  3. Step 3: Cross multiply
    2,959.60x = 4,081.74 × 1,780.45
  4. Step 4: Simplify right side
    2,959.60x = 7,267,333.98
  5. Step 5: Solve for x
    x = 7,267,333.98/2,959.60
  6. Step 6: Final answer
    x = 2,455.51

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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.