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Finding the Fourth Proportional to 1,426.77, 1,968.84 and 837.23

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Solution

The fourth proportional to 1,426.77, 1,968.84 and 837.23 is: 1,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.77 : 1,968.84 = 837.23 : x
  2. Step 2: Convert to fraction form
    1,426.77/1,968.84 = 837.23/x
  3. Step 3: Cross multiply
    1,426.77x = 1,968.84 × 837.23
  4. Step 4: Simplify right side
    1,426.77x = 1,648,362.07
  5. Step 5: Solve for x
    x = 1,648,362.07/1,426.77
  6. Step 6: Final answer
    x = 1,155.31

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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.