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Finding the Fourth Proportional to 1,211.13, 1,817.76 and 846.17

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Solution

The fourth proportional to 1,211.13, 1,817.76 and 846.17 is: 1,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.13 : 1,817.76 = 846.17 : x
  2. Step 2: Convert to fraction form
    1,211.13/1,817.76 = 846.17/x
  3. Step 3: Cross multiply
    1,211.13x = 1,817.76 × 846.17
  4. Step 4: Simplify right side
    1,211.13x = 1,538,133.98
  5. Step 5: Solve for x
    x = 1,538,133.98/1,211.13
  6. Step 6: Final answer
    x = 1,270.00

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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.