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Finding the Fourth Proportional to 1,380.34, 2,071.54 and 861.10

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Solution

The fourth proportional to 1,380.34, 2,071.54 and 861.10 is: 1,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.34 : 2,071.54 = 861.10 : x
  2. Step 2: Convert to fraction form
    1,380.34/2,071.54 = 861.10/x
  3. Step 3: Cross multiply
    1,380.34x = 2,071.54 × 861.10
  4. Step 4: Simplify right side
    1,380.34x = 1,783,803.09
  5. Step 5: Solve for x
    x = 1,783,803.09/1,380.34
  6. Step 6: Final answer
    x = 1,292.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.