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Finding the Fourth Proportional to 1,266.41, 1,890.45 and 1,094.18

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Solution

The fourth proportional to 1,266.41, 1,890.45 and 1,094.18 is: 1,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.41 : 1,890.45 = 1,094.18 : x
  2. Step 2: Convert to fraction form
    1,266.41/1,890.45 = 1,094.18/x
  3. Step 3: Cross multiply
    1,266.41x = 1,890.45 × 1,094.18
  4. Step 4: Simplify right side
    1,266.41x = 2,068,487.11
  5. Step 5: Solve for x
    x = 2,068,487.11/1,266.41
  6. Step 6: Final answer
    x = 1,633.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.