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Finding the Fourth Proportional to 2,218, 3,059.76 and 1,776.46

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Solution

The fourth proportional to 2,218, 3,059.76 and 1,776.46 is: 2,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,059.76 = 1,776.46 : x
  2. Step 2: Convert to fraction form
    2,218/3,059.76 = 1,776.46/x
  3. Step 3: Cross multiply
    2,218x = 3,059.76 × 1,776.46
  4. Step 4: Simplify right side
    2,218x = 5,435,541.25
  5. Step 5: Solve for x
    x = 5,435,541.25/2,218
  6. Step 6: Final answer
    x = 2,450.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.