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Finding the Fourth Proportional to 2,391.64, 3,587.04 and 659.88

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Solution

The fourth proportional to 2,391.64, 3,587.04 and 659.88 is: 989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.64 : 3,587.04 = 659.88 : x
  2. Step 2: Convert to fraction form
    2,391.64/3,587.04 = 659.88/x
  3. Step 3: Cross multiply
    2,391.64x = 3,587.04 × 659.88
  4. Step 4: Simplify right side
    2,391.64x = 2,367,015.96
  5. Step 5: Solve for x
    x = 2,367,015.96/2,391.64
  6. Step 6: Final answer
    x = 989.70

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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.