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Finding the Fourth Proportional to 1,973.18, 2,942.13 and 1,902.03

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Solution

The fourth proportional to 1,973.18, 2,942.13 and 1,902.03 is: 2,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.18 : 2,942.13 = 1,902.03 : x
  2. Step 2: Convert to fraction form
    1,973.18/2,942.13 = 1,902.03/x
  3. Step 3: Cross multiply
    1,973.18x = 2,942.13 × 1,902.03
  4. Step 4: Simplify right side
    1,973.18x = 5,596,019.52
  5. Step 5: Solve for x
    x = 5,596,019.52/1,973.18
  6. Step 6: Final answer
    x = 2,836.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.