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Finding the Fourth Proportional to 3,111.64, 4,668.11 and 1,650.40

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Solution

The fourth proportional to 3,111.64, 4,668.11 and 1,650.40 is: 2,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.64 : 4,668.11 = 1,650.40 : x
  2. Step 2: Convert to fraction form
    3,111.64/4,668.11 = 1,650.40/x
  3. Step 3: Cross multiply
    3,111.64x = 4,668.11 × 1,650.40
  4. Step 4: Simplify right side
    3,111.64x = 7,704,248.74
  5. Step 5: Solve for x
    x = 7,704,248.74/3,111.64
  6. Step 6: Final answer
    x = 2,475.94

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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.