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Finding the Fourth Proportional to 1,519.51, 2,096.93 and 820.89

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Solution

The fourth proportional to 1,519.51, 2,096.93 and 820.89 is: 1,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.51 : 2,096.93 = 820.89 : x
  2. Step 2: Convert to fraction form
    1,519.51/2,096.93 = 820.89/x
  3. Step 3: Cross multiply
    1,519.51x = 2,096.93 × 820.89
  4. Step 4: Simplify right side
    1,519.51x = 1,721,340.40
  5. Step 5: Solve for x
    x = 1,721,340.40/1,519.51
  6. Step 6: Final answer
    x = 1,132.82

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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.