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Finding the Fourth Proportional to 1,909.10, 2,859.60 and 1,666.10

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Solution

The fourth proportional to 1,909.10, 2,859.60 and 1,666.10 is: 2,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.10 : 2,859.60 = 1,666.10 : x
  2. Step 2: Convert to fraction form
    1,909.10/2,859.60 = 1,666.10/x
  3. Step 3: Cross multiply
    1,909.10x = 2,859.60 × 1,666.10
  4. Step 4: Simplify right side
    1,909.10x = 4,764,379.56
  5. Step 5: Solve for x
    x = 4,764,379.56/1,909.10
  6. Step 6: Final answer
    x = 2,495.62

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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.