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Finding the Fourth Proportional to 1,604.34, 2,211.57 and 1,254.42

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Solution

The fourth proportional to 1,604.34, 2,211.57 and 1,254.42 is: 1,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.34 : 2,211.57 = 1,254.42 : x
  2. Step 2: Convert to fraction form
    1,604.34/2,211.57 = 1,254.42/x
  3. Step 3: Cross multiply
    1,604.34x = 2,211.57 × 1,254.42
  4. Step 4: Simplify right side
    1,604.34x = 2,774,237.64
  5. Step 5: Solve for x
    x = 2,774,237.64/1,604.34
  6. Step 6: Final answer
    x = 1,729.21

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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.