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Finding the Fourth Proportional to 2,557.14, 3,835.57 and 708.31

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Solution

The fourth proportional to 2,557.14, 3,835.57 and 708.31 is: 1,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.14 : 3,835.57 = 708.31 : x
  2. Step 2: Convert to fraction form
    2,557.14/3,835.57 = 708.31/x
  3. Step 3: Cross multiply
    2,557.14x = 3,835.57 × 708.31
  4. Step 4: Simplify right side
    2,557.14x = 2,716,772.59
  5. Step 5: Solve for x
    x = 2,716,772.59/2,557.14
  6. Step 6: Final answer
    x = 1,062.43

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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.