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Finding the Fourth Proportional to 2,665.59, 3,998.58 and 909.89

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Solution

The fourth proportional to 2,665.59, 3,998.58 and 909.89 is: 1,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.59 : 3,998.58 = 909.89 : x
  2. Step 2: Convert to fraction form
    2,665.59/3,998.58 = 909.89/x
  3. Step 3: Cross multiply
    2,665.59x = 3,998.58 × 909.89
  4. Step 4: Simplify right side
    2,665.59x = 3,638,267.96
  5. Step 5: Solve for x
    x = 3,638,267.96/2,665.59
  6. Step 6: Final answer
    x = 1,364.90

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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.