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Finding the Fourth Proportional to 2,123.35, 2,930.84 and 1,284.06

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Solution

The fourth proportional to 2,123.35, 2,930.84 and 1,284.06 is: 1,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.35 : 2,930.84 = 1,284.06 : x
  2. Step 2: Convert to fraction form
    2,123.35/2,930.84 = 1,284.06/x
  3. Step 3: Cross multiply
    2,123.35x = 2,930.84 × 1,284.06
  4. Step 4: Simplify right side
    2,123.35x = 3,763,353.34
  5. Step 5: Solve for x
    x = 3,763,353.34/2,123.35
  6. Step 6: Final answer
    x = 1,772.37

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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.