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Finding the Fourth Proportional to 2,557, 3,528.68 and 1,674.28

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Solution

The fourth proportional to 2,557, 3,528.68 and 1,674.28 is: 2,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557 : 3,528.68 = 1,674.28 : x
  2. Step 2: Convert to fraction form
    2,557/3,528.68 = 1,674.28/x
  3. Step 3: Cross multiply
    2,557x = 3,528.68 × 1,674.28
  4. Step 4: Simplify right side
    2,557x = 5,907,998.35
  5. Step 5: Solve for x
    x = 5,907,998.35/2,557
  6. Step 6: Final answer
    x = 2,310.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.