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Finding the Fourth Proportional to 1,821.56, 2,512.95 and 1,123.34

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Solution

The fourth proportional to 1,821.56, 2,512.95 and 1,123.34 is: 1,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.56 : 2,512.95 = 1,123.34 : x
  2. Step 2: Convert to fraction form
    1,821.56/2,512.95 = 1,123.34/x
  3. Step 3: Cross multiply
    1,821.56x = 2,512.95 × 1,123.34
  4. Step 4: Simplify right side
    1,821.56x = 2,822,897.25
  5. Step 5: Solve for x
    x = 2,822,897.25/1,821.56
  6. Step 6: Final answer
    x = 1,549.71

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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.