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Finding the Fourth Proportional to 1,269.41, 1,753.04 and 1,266.98

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Solution

The fourth proportional to 1,269.41, 1,753.04 and 1,266.98 is: 1,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.41 : 1,753.04 = 1,266.98 : x
  2. Step 2: Convert to fraction form
    1,269.41/1,753.04 = 1,266.98/x
  3. Step 3: Cross multiply
    1,269.41x = 1,753.04 × 1,266.98
  4. Step 4: Simplify right side
    1,269.41x = 2,221,061.02
  5. Step 5: Solve for x
    x = 2,221,061.02/1,269.41
  6. Step 6: Final answer
    x = 1,749.69

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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.