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Finding the Fourth Proportional to 1,972.54, 2,722.98 and 1,265.14

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Solution

The fourth proportional to 1,972.54, 2,722.98 and 1,265.14 is: 1,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.54 : 2,722.98 = 1,265.14 : x
  2. Step 2: Convert to fraction form
    1,972.54/2,722.98 = 1,265.14/x
  3. Step 3: Cross multiply
    1,972.54x = 2,722.98 × 1,265.14
  4. Step 4: Simplify right side
    1,972.54x = 3,444,950.92
  5. Step 5: Solve for x
    x = 3,444,950.92/1,972.54
  6. Step 6: Final answer
    x = 1,746.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.