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Finding the Fourth Proportional to 1,461.85, 2,187.81 and 844.63

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Solution

The fourth proportional to 1,461.85, 2,187.81 and 844.63 is: 1,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.85 : 2,187.81 = 844.63 : x
  2. Step 2: Convert to fraction form
    1,461.85/2,187.81 = 844.63/x
  3. Step 3: Cross multiply
    1,461.85x = 2,187.81 × 844.63
  4. Step 4: Simplify right side
    1,461.85x = 1,847,884.49
  5. Step 5: Solve for x
    x = 1,847,884.49/1,461.85
  6. Step 6: Final answer
    x = 1,264.07

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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.