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Finding the Fourth Proportional to 2,712.31, 4,070 and 1,674.85

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Solution

The fourth proportional to 2,712.31, 4,070 and 1,674.85 is: 2,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.31 : 4,070 = 1,674.85 : x
  2. Step 2: Convert to fraction form
    2,712.31/4,070 = 1,674.85/x
  3. Step 3: Cross multiply
    2,712.31x = 4,070 × 1,674.85
  4. Step 4: Simplify right side
    2,712.31x = 6,816,639.50
  5. Step 5: Solve for x
    x = 6,816,639.50/2,712.31
  6. Step 6: Final answer
    x = 2,513.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.