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Finding the Fourth Proportional to 1,817.06, 2,723.76 and 777.74

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Solution

The fourth proportional to 1,817.06, 2,723.76 and 777.74 is: 1,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.06 : 2,723.76 = 777.74 : x
  2. Step 2: Convert to fraction form
    1,817.06/2,723.76 = 777.74/x
  3. Step 3: Cross multiply
    1,817.06x = 2,723.76 × 777.74
  4. Step 4: Simplify right side
    1,817.06x = 2,118,363.48
  5. Step 5: Solve for x
    x = 2,118,363.48/1,817.06
  6. Step 6: Final answer
    x = 1,165.82

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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.