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Finding the Fourth Proportional to 2,310.42, 3,465.22 and 666.57

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Solution

The fourth proportional to 2,310.42, 3,465.22 and 666.57 is: 999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.42 : 3,465.22 = 666.57 : x
  2. Step 2: Convert to fraction form
    2,310.42/3,465.22 = 666.57/x
  3. Step 3: Cross multiply
    2,310.42x = 3,465.22 × 666.57
  4. Step 4: Simplify right side
    2,310.42x = 2,309,811.70
  5. Step 5: Solve for x
    x = 2,309,811.70/2,310.42
  6. Step 6: Final answer
    x = 999.74

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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.