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Finding the Fourth Proportional to 1,708.87, 2,358.04 and 962.84

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Solution

The fourth proportional to 1,708.87, 2,358.04 and 962.84 is: 1,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.87 : 2,358.04 = 962.84 : x
  2. Step 2: Convert to fraction form
    1,708.87/2,358.04 = 962.84/x
  3. Step 3: Cross multiply
    1,708.87x = 2,358.04 × 962.84
  4. Step 4: Simplify right side
    1,708.87x = 2,270,406.93
  5. Step 5: Solve for x
    x = 2,270,406.93/1,708.87
  6. Step 6: Final answer
    x = 1,328.61

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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.