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Finding the Fourth Proportional to 2,315.97, 3,473.03 and 1,342.76

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Solution

The fourth proportional to 2,315.97, 3,473.03 and 1,342.76 is: 2,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.97 : 3,473.03 = 1,342.76 : x
  2. Step 2: Convert to fraction form
    2,315.97/3,473.03 = 1,342.76/x
  3. Step 3: Cross multiply
    2,315.97x = 3,473.03 × 1,342.76
  4. Step 4: Simplify right side
    2,315.97x = 4,663,431.75
  5. Step 5: Solve for x
    x = 4,663,431.75/2,315.97
  6. Step 6: Final answer
    x = 2,013.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.