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Finding the Fourth Proportional to 2,397.61, 3,596.61 and 666.24

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Solution

The fourth proportional to 2,397.61, 3,596.61 and 666.24 is: 999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.61 : 3,596.61 = 666.24 : x
  2. Step 2: Convert to fraction form
    2,397.61/3,596.61 = 666.24/x
  3. Step 3: Cross multiply
    2,397.61x = 3,596.61 × 666.24
  4. Step 4: Simplify right side
    2,397.61x = 2,396,205.45
  5. Step 5: Solve for x
    x = 2,396,205.45/2,397.61
  6. Step 6: Final answer
    x = 999.41

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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.