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Finding the Fourth Proportional to 1,942.72, 2,925.64 and 1,750

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Solution

The fourth proportional to 1,942.72, 2,925.64 and 1,750 is: 2,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.72 : 2,925.64 = 1,750 : x
  2. Step 2: Convert to fraction form
    1,942.72/2,925.64 = 1,750/x
  3. Step 3: Cross multiply
    1,942.72x = 2,925.64 × 1,750
  4. Step 4: Simplify right side
    1,942.72x = 5,119,870
  5. Step 5: Solve for x
    x = 5,119,870/1,942.72
  6. Step 6: Final answer
    x = 2,635.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.