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Finding the Fourth Proportional to 1,972.17, 2,958.17 and 491.36

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Solution

The fourth proportional to 1,972.17, 2,958.17 and 491.36 is: 737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.17 : 2,958.17 = 491.36 : x
  2. Step 2: Convert to fraction form
    1,972.17/2,958.17 = 491.36/x
  3. Step 3: Cross multiply
    1,972.17x = 2,958.17 × 491.36
  4. Step 4: Simplify right side
    1,972.17x = 1,453,509.16
  5. Step 5: Solve for x
    x = 1,453,509.16/1,972.17
  6. Step 6: Final answer
    x = 737.01

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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.