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Finding the Fourth Proportional to 2,911.64, 4,369.35 and 1,269.23

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Solution

The fourth proportional to 2,911.64, 4,369.35 and 1,269.23 is: 1,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.64 : 4,369.35 = 1,269.23 : x
  2. Step 2: Convert to fraction form
    2,911.64/4,369.35 = 1,269.23/x
  3. Step 3: Cross multiply
    2,911.64x = 4,369.35 × 1,269.23
  4. Step 4: Simplify right side
    2,911.64x = 5,545,710.10
  5. Step 5: Solve for x
    x = 5,545,710.10/2,911.64
  6. Step 6: Final answer
    x = 1,904.67

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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.