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Finding the Fourth Proportional to 2,860.67, 4,294.65 and 2,666.90

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Solution

The fourth proportional to 2,860.67, 4,294.65 and 2,666.90 is: 4,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.67 : 4,294.65 = 2,666.90 : x
  2. Step 2: Convert to fraction form
    2,860.67/4,294.65 = 2,666.90/x
  3. Step 3: Cross multiply
    2,860.67x = 4,294.65 × 2,666.90
  4. Step 4: Simplify right side
    2,860.67x = 11,453,402.09
  5. Step 5: Solve for x
    x = 11,453,402.09/2,860.67
  6. Step 6: Final answer
    x = 4,003.75

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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.