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Finding the Fourth Proportional to 1,902.69, 2,854.03 and 1,315.84

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Solution

The fourth proportional to 1,902.69, 2,854.03 and 1,315.84 is: 1,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.69 : 2,854.03 = 1,315.84 : x
  2. Step 2: Convert to fraction form
    1,902.69/2,854.03 = 1,315.84/x
  3. Step 3: Cross multiply
    1,902.69x = 2,854.03 × 1,315.84
  4. Step 4: Simplify right side
    1,902.69x = 3,755,440.26
  5. Step 5: Solve for x
    x = 3,755,440.26/1,902.69
  6. Step 6: Final answer
    x = 1,973.76

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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.