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Finding the Fourth Proportional to 1,426.74, 1,968.84 and 837.15

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Solution

The fourth proportional to 1,426.74, 1,968.84 and 837.15 is: 1,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.74 : 1,968.84 = 837.15 : x
  2. Step 2: Convert to fraction form
    1,426.74/1,968.84 = 837.15/x
  3. Step 3: Cross multiply
    1,426.74x = 1,968.84 × 837.15
  4. Step 4: Simplify right side
    1,426.74x = 1,648,214.41
  5. Step 5: Solve for x
    x = 1,648,214.41/1,426.74
  6. Step 6: Final answer
    x = 1,155.23

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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.