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Finding the Fourth Proportional to 1,964.40, 2,710.24 and 1,265.92

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Solution

The fourth proportional to 1,964.40, 2,710.24 and 1,265.92 is: 1,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.40 : 2,710.24 = 1,265.92 : x
  2. Step 2: Convert to fraction form
    1,964.40/2,710.24 = 1,265.92/x
  3. Step 3: Cross multiply
    1,964.40x = 2,710.24 × 1,265.92
  4. Step 4: Simplify right side
    1,964.40x = 3,430,947.02
  5. Step 5: Solve for x
    x = 3,430,947.02/1,964.40
  6. Step 6: Final answer
    x = 1,746.56

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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.