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Finding the Fourth Proportional to 2,689.78, 3,713.80 and 2,030.27

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Solution

The fourth proportional to 2,689.78, 3,713.80 and 2,030.27 is: 2,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.78 : 3,713.80 = 2,030.27 : x
  2. Step 2: Convert to fraction form
    2,689.78/3,713.80 = 2,030.27/x
  3. Step 3: Cross multiply
    2,689.78x = 3,713.80 × 2,030.27
  4. Step 4: Simplify right side
    2,689.78x = 7,539,996.89
  5. Step 5: Solve for x
    x = 7,539,996.89/2,689.78
  6. Step 6: Final answer
    x = 2,803.20

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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.