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Finding the Fourth Proportional to 2,077.82, 3,097.58 and 1,973.94

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Solution

The fourth proportional to 2,077.82, 3,097.58 and 1,973.94 is: 2,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.82 : 3,097.58 = 1,973.94 : x
  2. Step 2: Convert to fraction form
    2,077.82/3,097.58 = 1,973.94/x
  3. Step 3: Cross multiply
    2,077.82x = 3,097.58 × 1,973.94
  4. Step 4: Simplify right side
    2,077.82x = 6,114,437.07
  5. Step 5: Solve for x
    x = 6,114,437.07/2,077.82
  6. Step 6: Final answer
    x = 2,942.72

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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.