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Finding the Fourth Proportional to 2,310.24, 3,465.06 and 666.96

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Solution

The fourth proportional to 2,310.24, 3,465.06 and 666.96 is: 1,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.24 : 3,465.06 = 666.96 : x
  2. Step 2: Convert to fraction form
    2,310.24/3,465.06 = 666.96/x
  3. Step 3: Cross multiply
    2,310.24x = 3,465.06 × 666.96
  4. Step 4: Simplify right side
    2,310.24x = 2,311,056.42
  5. Step 5: Solve for x
    x = 2,311,056.42/2,310.24
  6. Step 6: Final answer
    x = 1,000.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.