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Finding the Fourth Proportional to 1,426.88, 1,969.02 and 837.76

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Solution

The fourth proportional to 1,426.88, 1,969.02 and 837.76 is: 1,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.88 : 1,969.02 = 837.76 : x
  2. Step 2: Convert to fraction form
    1,426.88/1,969.02 = 837.76/x
  3. Step 3: Cross multiply
    1,426.88x = 1,969.02 × 837.76
  4. Step 4: Simplify right side
    1,426.88x = 1,649,566.20
  5. Step 5: Solve for x
    x = 1,649,566.20/1,426.88
  6. Step 6: Final answer
    x = 1,156.07

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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.