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Finding the Fourth Proportional to 1,460.80, 2,191.23 and 844.06

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Solution

The fourth proportional to 1,460.80, 2,191.23 and 844.06 is: 1,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.80 : 2,191.23 = 844.06 : x
  2. Step 2: Convert to fraction form
    1,460.80/2,191.23 = 844.06/x
  3. Step 3: Cross multiply
    1,460.80x = 2,191.23 × 844.06
  4. Step 4: Simplify right side
    1,460.80x = 1,849,529.59
  5. Step 5: Solve for x
    x = 1,849,529.59/1,460.80
  6. Step 6: Final answer
    x = 1,266.11

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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.