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Finding the Fourth Proportional to 2,030.60, 3,043.80 and 780.85

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Solution

The fourth proportional to 2,030.60, 3,043.80 and 780.85 is: 1,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.60 : 3,043.80 = 780.85 : x
  2. Step 2: Convert to fraction form
    2,030.60/3,043.80 = 780.85/x
  3. Step 3: Cross multiply
    2,030.60x = 3,043.80 × 780.85
  4. Step 4: Simplify right side
    2,030.60x = 2,376,751.23
  5. Step 5: Solve for x
    x = 2,376,751.23/2,030.60
  6. Step 6: Final answer
    x = 1,170.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.