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Finding the Fourth Proportional to 1,973.76, 2,723.66 and 1,275.12

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Solution

The fourth proportional to 1,973.76, 2,723.66 and 1,275.12 is: 1,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.76 : 2,723.66 = 1,275.12 : x
  2. Step 2: Convert to fraction form
    1,973.76/2,723.66 = 1,275.12/x
  3. Step 3: Cross multiply
    1,973.76x = 2,723.66 × 1,275.12
  4. Step 4: Simplify right side
    1,973.76x = 3,472,993.34
  5. Step 5: Solve for x
    x = 3,472,993.34/1,973.76
  6. Step 6: Final answer
    x = 1,759.58

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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.