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Finding the Fourth Proportional to 1,921.76, 2,653.12 and 1,293.12

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Solution

The fourth proportional to 1,921.76, 2,653.12 and 1,293.12 is: 1,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.76 : 2,653.12 = 1,293.12 : x
  2. Step 2: Convert to fraction form
    1,921.76/2,653.12 = 1,293.12/x
  3. Step 3: Cross multiply
    1,921.76x = 2,653.12 × 1,293.12
  4. Step 4: Simplify right side
    1,921.76x = 3,430,802.53
  5. Step 5: Solve for x
    x = 3,430,802.53/1,921.76
  6. Step 6: Final answer
    x = 1,785.24

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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.