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Finding the Fourth Proportional to 2,059.89, 2,842.65 and 1,128.39

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Solution

The fourth proportional to 2,059.89, 2,842.65 and 1,128.39 is: 1,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.89 : 2,842.65 = 1,128.39 : x
  2. Step 2: Convert to fraction form
    2,059.89/2,842.65 = 1,128.39/x
  3. Step 3: Cross multiply
    2,059.89x = 2,842.65 × 1,128.39
  4. Step 4: Simplify right side
    2,059.89x = 3,207,617.83
  5. Step 5: Solve for x
    x = 3,207,617.83/2,059.89
  6. Step 6: Final answer
    x = 1,557.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.