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Finding the Fourth Proportional to 2,316.30, 3,474.81 and 777.66

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Solution

The fourth proportional to 2,316.30, 3,474.81 and 777.66 is: 1,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.30 : 3,474.81 = 777.66 : x
  2. Step 2: Convert to fraction form
    2,316.30/3,474.81 = 777.66/x
  3. Step 3: Cross multiply
    2,316.30x = 3,474.81 × 777.66
  4. Step 4: Simplify right side
    2,316.30x = 2,702,206.48
  5. Step 5: Solve for x
    x = 2,702,206.48/2,316.30
  6. Step 6: Final answer
    x = 1,166.61

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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.