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Finding the Fourth Proportional to 2,062.76, 2,846.06 and 1,223.64

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Solution

The fourth proportional to 2,062.76, 2,846.06 and 1,223.64 is: 1,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.76 : 2,846.06 = 1,223.64 : x
  2. Step 2: Convert to fraction form
    2,062.76/2,846.06 = 1,223.64/x
  3. Step 3: Cross multiply
    2,062.76x = 2,846.06 × 1,223.64
  4. Step 4: Simplify right side
    2,062.76x = 3,482,551.33
  5. Step 5: Solve for x
    x = 3,482,551.33/2,062.76
  6. Step 6: Final answer
    x = 1,688.30

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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.