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Finding the Fourth Proportional to 3,544.16, 5,308.80 and 1,696.80

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Solution

The fourth proportional to 3,544.16, 5,308.80 and 1,696.80 is: 2,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.16 : 5,308.80 = 1,696.80 : x
  2. Step 2: Convert to fraction form
    3,544.16/5,308.80 = 1,696.80/x
  3. Step 3: Cross multiply
    3,544.16x = 5,308.80 × 1,696.80
  4. Step 4: Simplify right side
    3,544.16x = 9,007,971.84
  5. Step 5: Solve for x
    x = 9,007,971.84/3,544.16
  6. Step 6: Final answer
    x = 2,541.64

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1.5x scale

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.