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Finding the Fourth Proportional to 2,123.55, 2,929.10 and 1,680.75

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Solution

The fourth proportional to 2,123.55, 2,929.10 and 1,680.75 is: 2,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.55 : 2,929.10 = 1,680.75 : x
  2. Step 2: Convert to fraction form
    2,123.55/2,929.10 = 1,680.75/x
  3. Step 3: Cross multiply
    2,123.55x = 2,929.10 × 1,680.75
  4. Step 4: Simplify right side
    2,123.55x = 4,923,076.42
  5. Step 5: Solve for x
    x = 4,923,076.42/2,123.55
  6. Step 6: Final answer
    x = 2,318.32

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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.