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Finding the Fourth Proportional to 2,675.36, 3,689.92 and 1,877.28

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Solution

The fourth proportional to 2,675.36, 3,689.92 and 1,877.28 is: 2,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.36 : 3,689.92 = 1,877.28 : x
  2. Step 2: Convert to fraction form
    2,675.36/3,689.92 = 1,877.28/x
  3. Step 3: Cross multiply
    2,675.36x = 3,689.92 × 1,877.28
  4. Step 4: Simplify right side
    2,675.36x = 6,927,013.02
  5. Step 5: Solve for x
    x = 6,927,013.02/2,675.36
  6. Step 6: Final answer
    x = 2,589.19

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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.