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Finding the Fourth Proportional to 1,756.52, 2,631.82 and 1,241

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Solution

The fourth proportional to 1,756.52, 2,631.82 and 1,241 is: 1,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.52 : 2,631.82 = 1,241 : x
  2. Step 2: Convert to fraction form
    1,756.52/2,631.82 = 1,241/x
  3. Step 3: Cross multiply
    1,756.52x = 2,631.82 × 1,241
  4. Step 4: Simplify right side
    1,756.52x = 3,266,088.62
  5. Step 5: Solve for x
    x = 3,266,088.62/1,756.52
  6. Step 6: Final answer
    x = 1,859.41

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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.