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Finding the Fourth Proportional to 1,426.64, 1,968.72 and 797.13

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Solution

The fourth proportional to 1,426.64, 1,968.72 and 797.13 is: 1,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.64 : 1,968.72 = 797.13 : x
  2. Step 2: Convert to fraction form
    1,426.64/1,968.72 = 797.13/x
  3. Step 3: Cross multiply
    1,426.64x = 1,968.72 × 797.13
  4. Step 4: Simplify right side
    1,426.64x = 1,569,325.77
  5. Step 5: Solve for x
    x = 1,569,325.77/1,426.64
  6. Step 6: Final answer
    x = 1,100.02

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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.