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Finding the Fourth Proportional to 2,016.76, 3,024.69 and 783.76

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Solution

The fourth proportional to 2,016.76, 3,024.69 and 783.76 is: 1,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.76 : 3,024.69 = 783.76 : x
  2. Step 2: Convert to fraction form
    2,016.76/3,024.69 = 783.76/x
  3. Step 3: Cross multiply
    2,016.76x = 3,024.69 × 783.76
  4. Step 4: Simplify right side
    2,016.76x = 2,370,631.03
  5. Step 5: Solve for x
    x = 2,370,631.03/2,016.76
  6. Step 6: Final answer
    x = 1,175.47

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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.