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Finding the Fourth Proportional to 2,557.76, 3,836.85 and 708.87

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Solution

The fourth proportional to 2,557.76, 3,836.85 and 708.87 is: 1,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.76 : 3,836.85 = 708.87 : x
  2. Step 2: Convert to fraction form
    2,557.76/3,836.85 = 708.87/x
  3. Step 3: Cross multiply
    2,557.76x = 3,836.85 × 708.87
  4. Step 4: Simplify right side
    2,557.76x = 2,719,827.86
  5. Step 5: Solve for x
    x = 2,719,827.86/2,557.76
  6. Step 6: Final answer
    x = 1,063.37

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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.