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Finding the Fourth Proportional to 3,460.25, 5,190.51 and 1,381.25

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Solution

The fourth proportional to 3,460.25, 5,190.51 and 1,381.25 is: 2,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.25 : 5,190.51 = 1,381.25 : x
  2. Step 2: Convert to fraction form
    3,460.25/5,190.51 = 1,381.25/x
  3. Step 3: Cross multiply
    3,460.25x = 5,190.51 × 1,381.25
  4. Step 4: Simplify right side
    3,460.25x = 7,169,391.94
  5. Step 5: Solve for x
    x = 7,169,391.94/3,460.25
  6. Step 6: Final answer
    x = 2,071.93

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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.