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Finding the Fourth Proportional to 2,072.64, 2,860.28 and 1,128.46

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Solution

The fourth proportional to 2,072.64, 2,860.28 and 1,128.46 is: 1,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.64 : 2,860.28 = 1,128.46 : x
  2. Step 2: Convert to fraction form
    2,072.64/2,860.28 = 1,128.46/x
  3. Step 3: Cross multiply
    2,072.64x = 2,860.28 × 1,128.46
  4. Step 4: Simplify right side
    2,072.64x = 3,227,711.57
  5. Step 5: Solve for x
    x = 3,227,711.57/2,072.64
  6. Step 6: Final answer
    x = 1,557.29

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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.