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Finding the Fourth Proportional to 1,974.54, 2,960.58 and 1,359

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Solution

The fourth proportional to 1,974.54, 2,960.58 and 1,359 is: 2,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.54 : 2,960.58 = 1,359 : x
  2. Step 2: Convert to fraction form
    1,974.54/2,960.58 = 1,359/x
  3. Step 3: Cross multiply
    1,974.54x = 2,960.58 × 1,359
  4. Step 4: Simplify right side
    1,974.54x = 4,023,428.22
  5. Step 5: Solve for x
    x = 4,023,428.22/1,974.54
  6. Step 6: Final answer
    x = 2,037.65

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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.