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Finding the Fourth Proportional to 2,174.48, 3,266.09 and 1,298.70

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Solution

The fourth proportional to 2,174.48, 3,266.09 and 1,298.70 is: 1,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.48 : 3,266.09 = 1,298.70 : x
  2. Step 2: Convert to fraction form
    2,174.48/3,266.09 = 1,298.70/x
  3. Step 3: Cross multiply
    2,174.48x = 3,266.09 × 1,298.70
  4. Step 4: Simplify right side
    2,174.48x = 4,241,671.08
  5. Step 5: Solve for x
    x = 4,241,671.08/2,174.48
  6. Step 6: Final answer
    x = 1,950.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.