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Finding the Fourth Proportional to 1,602.56, 2,211.52 and 1,381.12

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Solution

The fourth proportional to 1,602.56, 2,211.52 and 1,381.12 is: 1,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.56 : 2,211.52 = 1,381.12 : x
  2. Step 2: Convert to fraction form
    1,602.56/2,211.52 = 1,381.12/x
  3. Step 3: Cross multiply
    1,602.56x = 2,211.52 × 1,381.12
  4. Step 4: Simplify right side
    1,602.56x = 3,054,374.50
  5. Step 5: Solve for x
    x = 3,054,374.50/1,602.56
  6. Step 6: Final answer
    x = 1,905.93

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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.