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Finding the Fourth Proportional to 1,972.90, 2,960.65 and 1,049.13

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Solution

The fourth proportional to 1,972.90, 2,960.65 and 1,049.13 is: 1,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.90 : 2,960.65 = 1,049.13 : x
  2. Step 2: Convert to fraction form
    1,972.90/2,960.65 = 1,049.13/x
  3. Step 3: Cross multiply
    1,972.90x = 2,960.65 × 1,049.13
  4. Step 4: Simplify right side
    1,972.90x = 3,106,108.05
  5. Step 5: Solve for x
    x = 3,106,108.05/1,972.90
  6. Step 6: Final answer
    x = 1,574.39

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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.