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Finding the Fourth Proportional to 2,123.78, 2,931.27 and 1,620.94

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Solution

The fourth proportional to 2,123.78, 2,931.27 and 1,620.94 is: 2,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.78 : 2,931.27 = 1,620.94 : x
  2. Step 2: Convert to fraction form
    2,123.78/2,931.27 = 1,620.94/x
  3. Step 3: Cross multiply
    2,123.78x = 2,931.27 × 1,620.94
  4. Step 4: Simplify right side
    2,123.78x = 4,751,405.47
  5. Step 5: Solve for x
    x = 4,751,405.47/2,123.78
  6. Step 6: Final answer
    x = 2,237.25

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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.