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Finding the Fourth Proportional to 2,574.64, 3,552.86 and 1,691.64

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Solution

The fourth proportional to 2,574.64, 3,552.86 and 1,691.64 is: 2,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.64 : 3,552.86 = 1,691.64 : x
  2. Step 2: Convert to fraction form
    2,574.64/3,552.86 = 1,691.64/x
  3. Step 3: Cross multiply
    2,574.64x = 3,552.86 × 1,691.64
  4. Step 4: Simplify right side
    2,574.64x = 6,010,160.09
  5. Step 5: Solve for x
    x = 6,010,160.09/2,574.64
  6. Step 6: Final answer
    x = 2,334.37

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1.5x scale

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.