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Finding the Fourth Proportional to 1,970.26, 2,718.02 and 1,298.77

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Solution

The fourth proportional to 1,970.26, 2,718.02 and 1,298.77 is: 1,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.26 : 2,718.02 = 1,298.77 : x
  2. Step 2: Convert to fraction form
    1,970.26/2,718.02 = 1,298.77/x
  3. Step 3: Cross multiply
    1,970.26x = 2,718.02 × 1,298.77
  4. Step 4: Simplify right side
    1,970.26x = 3,530,079.29
  5. Step 5: Solve for x
    x = 3,530,079.29/1,970.26
  6. Step 6: Final answer
    x = 1,791.68

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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.