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Finding the Fourth Proportional to 2,072.35, 2,859.80 and 1,128.16

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Solution

The fourth proportional to 2,072.35, 2,859.80 and 1,128.16 is: 1,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.35 : 2,859.80 = 1,128.16 : x
  2. Step 2: Convert to fraction form
    2,072.35/2,859.80 = 1,128.16/x
  3. Step 3: Cross multiply
    2,072.35x = 2,859.80 × 1,128.16
  4. Step 4: Simplify right side
    2,072.35x = 3,226,318.36
  5. Step 5: Solve for x
    x = 3,226,318.36/2,072.35
  6. Step 6: Final answer
    x = 1,556.84

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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.