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Finding the Fourth Proportional to 2,666.68, 4,000.46 and 1,186.42

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Solution

The fourth proportional to 2,666.68, 4,000.46 and 1,186.42 is: 1,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.68 : 4,000.46 = 1,186.42 : x
  2. Step 2: Convert to fraction form
    2,666.68/4,000.46 = 1,186.42/x
  3. Step 3: Cross multiply
    2,666.68x = 4,000.46 × 1,186.42
  4. Step 4: Simplify right side
    2,666.68x = 4,746,225.75
  5. Step 5: Solve for x
    x = 4,746,225.75/2,666.68
  6. Step 6: Final answer
    x = 1,779.83

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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.