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Finding the Fourth Proportional to 3,460.89, 4,776.24 and 1,968.81

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Solution

The fourth proportional to 3,460.89, 4,776.24 and 1,968.81 is: 2,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.89 : 4,776.24 = 1,968.81 : x
  2. Step 2: Convert to fraction form
    3,460.89/4,776.24 = 1,968.81/x
  3. Step 3: Cross multiply
    3,460.89x = 4,776.24 × 1,968.81
  4. Step 4: Simplify right side
    3,460.89x = 9,403,509.07
  5. Step 5: Solve for x
    x = 9,403,509.07/3,460.89
  6. Step 6: Final answer
    x = 2,717.08

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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.