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Finding the Fourth Proportional to 3,072.66, 4,240.63 and 1,746.56

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Solution

The fourth proportional to 3,072.66, 4,240.63 and 1,746.56 is: 2,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.66 : 4,240.63 = 1,746.56 : x
  2. Step 2: Convert to fraction form
    3,072.66/4,240.63 = 1,746.56/x
  3. Step 3: Cross multiply
    3,072.66x = 4,240.63 × 1,746.56
  4. Step 4: Simplify right side
    3,072.66x = 7,406,505.07
  5. Step 5: Solve for x
    x = 7,406,505.07/3,072.66
  6. Step 6: Final answer
    x = 2,410.46

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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.