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Finding the Fourth Proportional to 2,358.09, 3,256.82 and 2,042.84

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Solution

The fourth proportional to 2,358.09, 3,256.82 and 2,042.84 is: 2,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.09 : 3,256.82 = 2,042.84 : x
  2. Step 2: Convert to fraction form
    2,358.09/3,256.82 = 2,042.84/x
  3. Step 3: Cross multiply
    2,358.09x = 3,256.82 × 2,042.84
  4. Step 4: Simplify right side
    2,358.09x = 6,653,135.67
  5. Step 5: Solve for x
    x = 6,653,135.67/2,358.09
  6. Step 6: Final answer
    x = 2,821.41

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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.