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Finding the Fourth Proportional to 2,095.77, 3,143.00 and 708.85

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Solution

The fourth proportional to 2,095.77, 3,143.00 and 708.85 is: 1,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.77 : 3,143.00 = 708.85 : x
  2. Step 2: Convert to fraction form
    2,095.77/3,143.00 = 708.85/x
  3. Step 3: Cross multiply
    2,095.77x = 3,143.00 × 708.85
  4. Step 4: Simplify right side
    2,095.77x = 2,227,921.25
  5. Step 5: Solve for x
    x = 2,227,921.25/2,095.77
  6. Step 6: Final answer
    x = 1,063.05

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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.