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Finding the Fourth Proportional to 2,045.70, 2,821.50 and 1,381.50

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Solution

The fourth proportional to 2,045.70, 2,821.50 and 1,381.50 is: 1,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.70 : 2,821.50 = 1,381.50 : x
  2. Step 2: Convert to fraction form
    2,045.70/2,821.50 = 1,381.50/x
  3. Step 3: Cross multiply
    2,045.70x = 2,821.50 × 1,381.50
  4. Step 4: Simplify right side
    2,045.70x = 3,897,902.25
  5. Step 5: Solve for x
    x = 3,897,902.25/2,045.70
  6. Step 6: Final answer
    x = 1,905.41

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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.