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Finding the Fourth Proportional to 2,186.78, 3,016.05 and 1,400.90

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Solution

The fourth proportional to 2,186.78, 3,016.05 and 1,400.90 is: 1,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.78 : 3,016.05 = 1,400.90 : x
  2. Step 2: Convert to fraction form
    2,186.78/3,016.05 = 1,400.90/x
  3. Step 3: Cross multiply
    2,186.78x = 3,016.05 × 1,400.90
  4. Step 4: Simplify right side
    2,186.78x = 4,225,184.45
  5. Step 5: Solve for x
    x = 4,225,184.45/2,186.78
  6. Step 6: Final answer
    x = 1,932.15

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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.