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Finding the Fourth Proportional to 2,684.00, 3,704.02 and 1,564.76

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Solution

The fourth proportional to 2,684.00, 3,704.02 and 1,564.76 is: 2,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.00 : 3,704.02 = 1,564.76 : x
  2. Step 2: Convert to fraction form
    2,684.00/3,704.02 = 1,564.76/x
  3. Step 3: Cross multiply
    2,684.00x = 3,704.02 × 1,564.76
  4. Step 4: Simplify right side
    2,684.00x = 5,795,907.68
  5. Step 5: Solve for x
    x = 5,795,907.68/2,684.00
  6. Step 6: Final answer
    x = 2,159.43

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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.