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Finding the Fourth Proportional to 3,460.91, 4,776.47 and 1,969.29

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Solution

The fourth proportional to 3,460.91, 4,776.47 and 1,969.29 is: 2,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.91 : 4,776.47 = 1,969.29 : x
  2. Step 2: Convert to fraction form
    3,460.91/4,776.47 = 1,969.29/x
  3. Step 3: Cross multiply
    3,460.91x = 4,776.47 × 1,969.29
  4. Step 4: Simplify right side
    3,460.91x = 9,406,244.76
  5. Step 5: Solve for x
    x = 9,406,244.76/3,460.91
  6. Step 6: Final answer
    x = 2,717.86

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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.