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Finding the Fourth Proportional to 2,141.99, 2,953.60 and 1,394.57

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Solution

The fourth proportional to 2,141.99, 2,953.60 and 1,394.57 is: 1,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.99 : 2,953.60 = 1,394.57 : x
  2. Step 2: Convert to fraction form
    2,141.99/2,953.60 = 1,394.57/x
  3. Step 3: Cross multiply
    2,141.99x = 2,953.60 × 1,394.57
  4. Step 4: Simplify right side
    2,141.99x = 4,119,001.95
  5. Step 5: Solve for x
    x = 4,119,001.95/2,141.99
  6. Step 6: Final answer
    x = 1,922.98

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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.