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Finding the Fourth Proportional to 2,911.85, 4,368.69 and 965.42

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Solution

The fourth proportional to 2,911.85, 4,368.69 and 965.42 is: 1,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.85 : 4,368.69 = 965.42 : x
  2. Step 2: Convert to fraction form
    2,911.85/4,368.69 = 965.42/x
  3. Step 3: Cross multiply
    2,911.85x = 4,368.69 × 965.42
  4. Step 4: Simplify right side
    2,911.85x = 4,217,598.86
  5. Step 5: Solve for x
    x = 4,217,598.86/2,911.85
  6. Step 6: Final answer
    x = 1,448.43

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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.