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Finding the Fourth Proportional to 2,095.48, 3,143.62 and 708.98

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Solution

The fourth proportional to 2,095.48, 3,143.62 and 708.98 is: 1,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.48 : 3,143.62 = 708.98 : x
  2. Step 2: Convert to fraction form
    2,095.48/3,143.62 = 708.98/x
  3. Step 3: Cross multiply
    2,095.48x = 3,143.62 × 708.98
  4. Step 4: Simplify right side
    2,095.48x = 2,228,763.71
  5. Step 5: Solve for x
    x = 2,228,763.71/2,095.48
  6. Step 6: Final answer
    x = 1,063.61

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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.