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Finding the Fourth Proportional to 3,072.57, 4,240.16 and 1,746.71

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Solution

The fourth proportional to 3,072.57, 4,240.16 and 1,746.71 is: 2,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.57 : 4,240.16 = 1,746.71 : x
  2. Step 2: Convert to fraction form
    3,072.57/4,240.16 = 1,746.71/x
  3. Step 3: Cross multiply
    3,072.57x = 4,240.16 × 1,746.71
  4. Step 4: Simplify right side
    3,072.57x = 7,406,329.87
  5. Step 5: Solve for x
    x = 7,406,329.87/3,072.57
  6. Step 6: Final answer
    x = 2,410.47

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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.