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Finding the Fourth Proportional to 2,010.30, 3,016.80 and 1,187.70

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Solution

The fourth proportional to 2,010.30, 3,016.80 and 1,187.70 is: 1,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.30 : 3,016.80 = 1,187.70 : x
  2. Step 2: Convert to fraction form
    2,010.30/3,016.80 = 1,187.70/x
  3. Step 3: Cross multiply
    2,010.30x = 3,016.80 × 1,187.70
  4. Step 4: Simplify right side
    2,010.30x = 3,583,053.36
  5. Step 5: Solve for x
    x = 3,583,053.36/2,010.30
  6. Step 6: Final answer
    x = 1,782.35

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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.