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Finding the Fourth Proportional to 1,426.96, 1,968.58 and 837.23

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Solution

The fourth proportional to 1,426.96, 1,968.58 and 837.23 is: 1,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.96 : 1,968.58 = 837.23 : x
  2. Step 2: Convert to fraction form
    1,426.96/1,968.58 = 837.23/x
  3. Step 3: Cross multiply
    1,426.96x = 1,968.58 × 837.23
  4. Step 4: Simplify right side
    1,426.96x = 1,648,142.30
  5. Step 5: Solve for x
    x = 1,648,142.30/1,426.96
  6. Step 6: Final answer
    x = 1,155.00

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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.