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Finding the Fourth Proportional to 2,051, 2,830.64 and 1,223

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Solution

The fourth proportional to 2,051, 2,830.64 and 1,223 is: 1,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051 : 2,830.64 = 1,223 : x
  2. Step 2: Convert to fraction form
    2,051/2,830.64 = 1,223/x
  3. Step 3: Cross multiply
    2,051x = 2,830.64 × 1,223
  4. Step 4: Simplify right side
    2,051x = 3,461,872.72
  5. Step 5: Solve for x
    x = 3,461,872.72/2,051
  6. Step 6: Final answer
    x = 1,687.90

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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.