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Finding the Fourth Proportional to 3,460.98, 4,776.09 and 1,889.07

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Solution

The fourth proportional to 3,460.98, 4,776.09 and 1,889.07 is: 2,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.98 : 4,776.09 = 1,889.07 : x
  2. Step 2: Convert to fraction form
    3,460.98/4,776.09 = 1,889.07/x
  3. Step 3: Cross multiply
    3,460.98x = 4,776.09 × 1,889.07
  4. Step 4: Simplify right side
    3,460.98x = 9,022,368.34
  5. Step 5: Solve for x
    x = 9,022,368.34/3,460.98
  6. Step 6: Final answer
    x = 2,606.88

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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.